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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials higher-dimensional Arakelov theory; hermitian vector bundle; Chern classes; Schubert calculus; Grothendieck groups; Riemann-Roch theorems; ampleness; vanishing theorems; semi-stability Soulé, C., Hermitian vector bundles on arithmetic varieties, (Algebraic Geometry--Santa Cruz 1995. Algebraic Geometry--Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62(1), (1997), Amer. Math. Soc.: Amer. Math. Soc. Providence, RI), 383-419 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomials; pipe dreams; mitosis algorithm | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; irreducible characters; highest weight modules; simple Lie algebras; quantized enveloping algebras; reductive algebraic groups; positive characteristic; root systems; intersection cohomology sheaves; Schubert varieties; character formulae; Coxeter numbers; Lusztig conjecture; affine flag manifolds; affine Kac-Moody algebras; moment graphs Fiebig, Peter, Sheaves on affine Schubert varieties, modular representations, and Lusztig's conjecture, J. Amer. Math. Soc., 0894-0347, 24, 1, 133\textendash 181 pp., (2011) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; Grothendieck polynomials; Schur polynomials Yeliussizov, D., Duality and deformations of stable Grothendieck polynomials, J. Algebraic Combin., 45, 295-344, (2017) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur polynomials; Schubert polynomials; transition formula Kohnert, A., Multiplication of a Schubert polynomial by a Schur polynomial, Ann. Comb., 1, 367-375, (1997) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials divided differences; vertex operators; jeu de taquin; symmetric group; orthogonal groups; Schur \(P\)-polynomials; orthogonal Schubert polynomials Alain Lascoux and Piotr Pragacz, Orthogonal divided differences and Schubert polynomials, \?-functions, and vertex operators, Michigan Math. J. 48 (2000), 417 -- 441. Dedicated to William Fulton on the occasion of his 60th birthday. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Monk formula; Lascoux-Schützenberger calculus of Schubert polynomials; Schubert cycles; permutations; flag manifolds; Pieri formula F. Patras, Le calcul de Schubert des permutations décomposables , Sém. Lothar. Combin. 35 (1995), Art. B35f, approx. 10 pp. (electronic), http://cartan.u-strasbg.fr:80/~slc/wpapers/s35patras.html. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double affine Hecke algebra; Jones polynomials; HOMFLY-PT polynomial; Khovanov-Rozansky homology; iterated torus knot; cabling; MacDonald polynomial; plane curve singularity; generalized Jacobian; Betti numbers; Puiseux expansion Cherednik, I.; Danilenko, I., DAHA and iterated torus knots, Algebr. Geom. Topol., 16, 843-898, (2016) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Bruhat order; Schubert polynomials; \(k\)-Schur functions; Hopf algebras | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Demazure characters; Stanley symmetric functions; crystal bases | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials classes of $\delta$-nodal curves in a $1$-parameter family; Kleiman-Piene conjecture; BPS calculus by Pandharipande and Thomas; plane curves; universal node polynomials; Schubert calculus in the Grassmannian of lines | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials singular locus; Schubert varieties; rational smoothness; Chevalley-Bruhat order; Plücker coordinates; Kazhdan-Lusztig polynomials; quotient Sara Billey and V. Lakshmibai, On the singular locus of a Schubert variety, J. Ramanujan Math. Soc. 15 (2000), no. 3, 155 -- 223. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elementary symmetric polynomials; standard elementary monomials; Schubert polynomials; SEM expansion; Schur functions Rudolf Winkel, On the expansion of Schur and Schubert polynomials into standard elementary monomials, Adv. Math. 136 (1998), no. 2, 224-250. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; alternating sign matrices; prism tableaux | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Lapointe-Lascoux-Morse \(k\)-Schur functions; Fomin-Gelfand-Postnikov quantum Schubert polynomials Lam, Thomas; Shimozono, Mark, From double quantum Schubert polynomials to \(k\)-double Schur functions via the Toda lattice, (2011) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials homogeneous varieties; classical and equivariant Schubert Calculus; Giambelli formula; Schubert polynomials; bi-Tableaux; mixed Stanley functions Tamvakis, H., \textit{A Giambelli formula for classical G/P spaces}, J. Algebraic Geom., 23, 245-278, (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag varieties; Hessenberg varieties; Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric varieties; Schubert polynomials; wonderful compactification; equivariant cohomology; weak order; parabolic induction | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; Grothendieck polynomial; cohomology ring of flag manifold; Grothendieck ring of flag manifolds; Hopf algebra; representations of the symmetric group Lascoux, Alain; Schützenberger, Marcel-Paul, Structure de Hopf de l'anneau de cohomologie et de l'anneau de Grothendieck d'une variété de drapeaux, C. R. Acad. Sci. Paris Sér. I Math., 295, 11, 629-633, (1982) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; nilCoxeter algebra; reduced decomposition S. Fomin and R. P. Stanley. ''Schubert polynomials and the NilCoxeter algebra''. Adv. Math. 103(1994), pp. 196--207.DOI. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Macdonald polynomials; Demazure characters; Kostka-Foulkes polynomials; Macdonald's symmetric functions; Hall-Littlewood symmetric functions; Jack symmetric functions; nonsymmetric Macdonald polynomials; Schubert calculus; plethystic substitution; Yamanouchi; weak descent composition; non-symmetric Kostka-Foulkes polynomial; Demazure atom | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur functions; Grothendieck polynomials; insertion algorithms; set-valued tableaux; Brill-Noether theory | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Young tableau; Grassmannian; Schubert polynomials W. Fulton, \textit{Young tableaux: With Applications to Representation Theory and Geometry}, vol. 35 of \textit{London Mathematical Society Student Texts}. Cambridge University Press (1996). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; symmetric functions; Fomin-Kirillov algebra Mészáros, Karola; Panova, Greta; Postnikov, Alexander, Schur times Schubert via the Fomin-Kirillov algebra, Electron. J. Combin., 21, 1, Paper 1.39, 22 pp., (2014) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials complexes; degenearcy loci; Schubert varieties; cohomology classes; Schubert polynomials; polynomial functors Sam, SV, Schubert complexes and degeneracy loci, J. Algebra, 337, 103-125, (2011) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(A_n\) crystal structure; Schur polynomials; K theory of Grassmannians; Schubert classes | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials degeneracy loci; Schubert polynomials; quiver variety; quiver coefficient; words \beginbarticle \bauthor\binitsA. S. \bsnmBuch, \bauthor\binitsA. \bsnmKresch, \bauthor\binitsH. \bsnmTamvakis and \bauthor\binitsA. \bsnmYong, \batitleGrothendieck polynomials and quiver formulas, \bjtitleAmer. J. Math. \bvolume127 (\byear2005), no. \bissue3, page 551-\blpage567. \endbarticle \OrigBibText ----, Grothendieck polynomials and quiver formulas , Amer. J. Math. 127 (2005), no. 3, 551-567. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kohnert's moves; Grothendieck polynomials C. Ross and A. Yong. ''Combinatorial Rules for Three Bases of Polynomials''. Sém. Lothar. Combin. 74 (2015), Art. B74a.URL. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials skew standard tableaux; product formulas; hook length; lozenge tilings; Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; Hilbert series; Schubert varieties Li L., Yong A.: Kazhdan-Lusztig polynomials and drift configurations. Algebra Number Theory 5(5), 595--626 (2011) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomial; Schubert polynomial; 1432-avoiding permutation; set-valued Rothe tableau; tableau complex | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Intersection cohomology; hypersurfaces; Schubert varieties; Kazhdan-Lusztig polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic group; Lie group; Deodhar Stratification; generalized minor; chamber minor; double Schubert cell; double Bruhat cell; total positivity; cluster algebra; flag variety; Poisson structure; Bruhat decomposition Ben Webster and Milen Yakimov, A Deodhar-type stratification on the double flag variety, Transform. Groups 12 (2007), no. 4, 769-785. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials weight varieties; symplectic reduction; Schubert polynomials Goldin R.F., The cohomology ring of weight varieties and polygon spaces, Adv. in Math., 2001, 160, 175--204 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kostant polynomials; Schubert calculus; semisimple Lie group S. C. Billey, ''Kostant Polynomials and the Cohomology Ring for G/B,'' Duke Math. J. 96(1), 205--224 (1999). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials factorial Schur polynomials; equivariant quantum cohomology; GKM conditions; equivariant Schubert calculus | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan Lusztig polynomials; Schubert varieties; Hermitian symmetric spaces; intersection homology sheaf; characteristic classes; root system Boe, B.; Fu, J., Characteristic cycles in Hermitian symmetric spaces, Can. J. Math., 49, 417-467, (1997) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; theta and eta polynomials; Weyl group invariants; flag manifolds; equivariant cohomology | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Lascoux-Schützenberger key polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Schur \(P\)-positivity | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials connected reductive linear algebraic groups; flag varieties; Schubert varieties; rational smoothness; symmetric orbit closures; Bruhat graphs; Kazhdan-Lusztig polynomials Dyer, M.J.: Hecke algebras and reflections in Coxeter groups. Ph.D. thesis, University of Sydney (1987) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Castelnuovo-Mumford regularity; Grothendieck polynomial; Schubert variety | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Rothe tableaux; balanced tableaux; Schubert polynomials Assaf, S., Combinatorial models for Schubert polynomials, (2017), preprint | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials semi-infinite flag varieties; Schubert varieties; affine Lie algebras; quantum \(K\)-theory; Borel-Weil theorem; current algebra; non-symmetric Macdonald polynomials; Weyl module Kato, S., Demazure character formula for semi-infinite flag manifolds | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; Bruhat order; Kazhdan-Lusztig polynomials; vexillary permutations Alain Lascoux, Polynômes de Kazhdan-Lusztig pour les variétés de Schubert vexillaires, C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 6, 667 -- 670 (French, with English and French summaries). | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag varieties; Schubert varieties; hyperplane arrangements; Bruhat order; Poincaré polynomials Oh, S; Postnikov, A; Yoo, H, Bruhat order, smooth Schubert varieties, and hyperplane arrangements, J. Comb. Theory Ser. A, 115, 1156-1166, (2008) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Murnaghan-Nakayama rule; Schubert calculus; Schubert polynomials; quantum cohomology | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag manifolds; cohomology; quantum cohomology; periodic Toda lattice; Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Poincaré polynomials; complex algebraic varieties; complex de Rham cohomology; Euler characteristic; Grothendieck rings; regular semisimple elements; complex connected reductive algebraic groups; Lie algebras; maximal tori; toral algebras; \(\ell\)-adic cohomology; numbers of rational points G. I. Lehrer, The cohomology of the regular semisimple variety, J. Algebra 199(2) (1998), 666\Ndash689. \small\texttt DOI: 10.1006/jabr.1997.7195. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomials; Littlewood-Richardson rule; tableaux Li, H., Morse, J., Shields, P.: Structure constants for \(K\)-theory of Grassmannians revisited (2016) (preprint). arXiv:1601.04509 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials multidimensional residues; Grothendieck residue; divisors; algebraic cycles; differential forms; currents; Jacobi residue formulae; analytic inspiration; integral representations; Bochner-Martinelli formula; toroidal residues; Laurent polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmann manifold of two dimensional subspaces of space of polynomials; rational maps; Catalan number; enumerative geometry; Schubert calculus \beginbarticle \bauthor\binitsL. \bsnmGoldberg, \batitleCatalan numbers and branched coverings by the Riemann sphere, \bjtitleAdv. Math. \bvolume85 (\byear1991), no. \bissue2, page 129-\blpage144. \endbarticle \OrigBibText L. Goldberg, Catalan numbers and branched coverings by the Riemann sphere, Adv. Math. 85 (1991), no. 2, 129-144. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur polynomials; Schubert cycles; Chow ring of Grassmann variety; flag bundles | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quiver polynomials; cohomology class; Chern classes; Grothendieck polynomials; conjecture of Buch Ezra Miller, Alternating formulas for \(K\) -theoretic quiver polynomials, Duke Math. J. 128 (2005), 1-17. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; singular loci; roots; Weyl groups; tangent cone; parabolic groups; Bruhat-Chevalley orders; grassmannian; Kazhdan-Lusztig polynomials; classical groups; nil-Hecke ring; minuscule groups; Poincaré polynomial; determinantal varieties; Dynkin diagrams Billey, Sara; Lakshmibai, V., Singular loci of Schubert varieties, Progress in Mathematics, vol. 182, (2000), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc. Boston, MA, MR 1782635 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials permutations; involutions; reduced words; Schubert polynomials; Stanley symmetric functions; Bruhat order; spherical varieties; Coxeter groups Z. Hamaker, E. Marberg, and B. Pawlowski. ''Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures''. 2015. arXiv:1508.01823. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials affine flag variety; affine Fomin-Kirillov algebra; affine nilCoxeter algebra; affine Schubert polynomials; \(k\)-Schur function; Murnaghan-Nakayama rule | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag manifolds; Schubert varieties; Grassmannian; Lagrangian Grassmannian; orthogonal Grassmannian; Shubert polynomials; Stanley symmetric functions | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials \(\mu\)-stable; Grothendieck-Riemann-Roch; Donaldson polynomials; moduli space of rank two bundles on ruled surfaces | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Stanley symmetric functions; type D Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Weyl character formula; Demazure character formula; Borel-Weil theorem; Bott-Samelson varieties; generalized Schur functions; generalized Schur modules; wiring diagram; chamber set; reductive group; Young diagrams Magyar P., Schubert polynomials and Bott-Samelson varieties, Comment. Math. Helv., 1998, 73(4), 603--636 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flagged Weyl module; Schubert polynomials; key polynomials; Schur functions; principal specialization | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Schur functions; Littlewood-Richardson rule; Monk's rule; Pieri's rule; RC-graphs Kogan, M.: RC-graphs and a generalized Littlewood--Richardson rule. Int. Math. Res. Not. 2001(15), 765--782 (2001) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; flag manifolds; pattern avoidance; Kazhdan-Lustig polynomials; Coxeter groups; Bruhat order H. Abe and S. C. Billey. ''Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry''. To appear in Adv. Studies of Pure Math. 2014. arXiv:1403.4345. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials double affine Hecke algebras; Jones polynomials; HOMFLY-PT polynomials; plane curve singularities; compactified Jacobians; Hilbert scheme; Khovanov-Rozansky homology; iterated torus links; Macdonald polynomial; Hasse-Weil zeta-function; Riemann hypothesis | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials pipe dreams; RC-graphs; permutations; Schubert polynomials; posets | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Young tableaux; Ferrers shape; reduced words; identity; Stanley's formula; Macdonald's formula; Schubert polynomials; enumeration of plane partitions; permutations; shapes | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomials; total positivity; symmetric functions; combinatorial \(K\)-theory | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials collinear; flag space; double point; bibliography; survey; algebraic varieties; partial line spaces; Grassmann varieties; pseudoproduct spaces; Segre's varieties; Veronese varieties; Schubert varieties Tallini G.: Partial linear spaces and algebraic varieties. Symp. Math. 28, 203--217 (1986) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials number of points of Grassmann variety; Gauss polynomials; Sylvester's formula; Galois geometries; Galois field; Schubert subvarieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grassmannian; Richardson varieties; Grothendieck polynomials; Schur multiplicity free | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials quantum Schubert polynomials Anders Skovsted Buch, A direct proof of the quantum version of Monk's formula, Proc. Amer. Math. Soc. 131 (2003), no. 7, 2037 -- 2042. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials modules of finite length; Grothendieck group; rational double point of a surface; resolution of singularities; Chow groups Srinivas, V., Modules of finite length and Chow groups of surfaces with rational double points, Ill. J. math., 31, 36-61, (1987) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials push forward; Gysin maps; Segre polynomials; classical flag bundles; Kempf-Laksov bundles; Schubert bundles | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials equivariant D-modules; Kostka polynomials; Poisson-de Rham homology; W-algebras; Springer fibers; nilpotent cone; Harish-Chandra homomorphism; Grothendieck-Springer resolution Bellamy, G., Schedler, T.: Kostka polynomials from nilpotent cones and Springer fiber cohomology. arXiv:1509.02520 (2015) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; pipe dreams; involutions; symmetric groups; spherical varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; TASEP; multiline queues | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur polynomials; elimination theory; Schubert calculus for Grassmannians Pragacz, Piotr, Algebro-geometric applications of Schur \(S\)- and \(Q\)-polynomials.Topics in invariant theory, Paris, 1989/1990, Lecture Notes in Math. 1478, 130-191, (1991), Springer, Berlin | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Schubert functors; Kraśkiewicz-Pragacz modules; Schubert calculus | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials symmetric functions; Schur polynomials; Young diagrams; Schubert polynomials; Schubert varieties; degeneracy loci of vector bundle morphisms; Grassmannians; Chern classes; flag varieties Manivel, Laurent, Fonctions symétriques, polynômes de Schubert et lieux de dégénérescence, 2-85629-066-3, Cours Spécialisés [Specialized Courses] 3, vi+179 pp., (1998), Société Mathématique de France, Paris | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials dual Schur functions; Schubert polynomials; configuration of lines | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Kazhdan-Lusztig polynomials; Schubert varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert varieties; singularities; Kazhdan-Lusztig polynomials; determinantal ideals A. Woo, A. Yong, Governing singularities of Schubert varieties, J. Algebra 320 (2008), no. 2, 495--520. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; pipe dreams; spherical orbits | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomial; Schur function; top polynomials; classical groups; Schubert variety | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Yang-Baxer equation; symmetric functions; Coxeter groups Fomin, S.; Kirillov, A. N., Combinatorial \(B_n\)-analogues of Schubert polynomials, Trans. Am. Math. Soc., 348, 3591-3620, (1996) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; bumpless pipe dreams | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Hessenberg varieties Anderson, D; Tymoczko, J, \textit{Schubert polynomials and classes of Hessenberg varieties}, J. Algebra, 323, 2605-2623, (2010) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; symmetric functions; Schubert calculus; affine Grassmannian; based continuous loop group; affine Weyl group; Kostant Kumar; centralizer; Fomin Stanley subalgebra; Hopf algebra T. Lam. ''Schubert polynomials for the affine Grassmannian''. J. Amer. Math. Soc. 21 (2008), pp. 259--281.DOI. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials reduced words; Schubert polynomials; RC graphs; pipe dreams; bijective proof; algorithmic bijection | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schur functions; Schubert polynomials; nilplaxtic relation; alphabet; monoid; word; Schensted construction; Coxeter relations; transpositions; nilplaxtic classes; standard tableaux; sums of tableaux; reduced decompositions Lascoux, A.; Schützenberger, M. P., Tableaux and noncommutative Schubert polynomials, Funct. Anal. Appl., 23, 223-225, (1990) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials dual stable Grothendieck polynomials; symmetric functions; Schur functions; plane partitions; Young tableaux Galashin P, Grinberg D and Liu G 2016 Refined dual stable Grothendieck polynomials and generalized Bender--Knuth involutions \textit{Electron. J. Comb.}23 3--14 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Giambelli formula; isotropic Grassmannians; raising operators; theta polynomials; Schubert polynomials Buch, A.; Kresch, A.; Tamvakis, H., \textit{A Giambelli formula for isotropic Grassmannians}, Selecta Math. (N.S.), 23, 869-914, (2017) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Demazure characters; key polynomials; RSK; Edelman-Greene insertion; reduced words | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials combinatorial formula; positivity of skew divided difference operators; Pieri rule for Schubert polynomials | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert cell; complete flags; Hodge structure; refined double stratum Boris Shapiro, Michael Shapiro, and Alek Vainshtein, On combinatorics and topology of pairwise intersections of Schubert cells in \?\?_{\?}/\Cal B, The Arnold-Gelfand mathematical seminars, Birkhäuser Boston, Boston, MA, 1997, pp. 397 -- 437. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Grothendieck polynomials; flagged set-valued tableaux; vexillary permutations; Jacobi-Trudi formula | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials fundamental slide polynomials; Schubert polynomials; key polynomials; fundamental quasisymmetric functions; quasi-Schur functions; Kohnert tableaux | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Macdonald polynomials; Gromov-Witten invariants; Schubert structure constants; parabolic Hall-Littlewood polynomials; strong tableaux | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Schubert polynomials; Coxeter combinatorics; spherical orbits | 0 |
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