Notes on Schubert, Grothendieck and Key Polynomials
Copyright policy )Notes on Schubert, Grothendieck and Key Polynomials
We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and combinatorial properties of the reduced rectangular plactic algebra and associated Cauchy kernels.
double affine nilcoxeter algebras, Symmetric functions and generalizations, Cauchy's type kernels and symmetric, totally symmetric plane partitions, and alternating sign matrices, 05E05, 05E10, 05A19, plactic monoid and reduced plactic algebras, noncrossing Dyck paths and rectangular Schubert polynomials, nilcoxeter and idcoxeter algebras, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Schubert, \(\beta\)-Grothendieck, key and double key-Grothendieck, and di Francesco-Zinn-Justin polynomials, Combinatorial identities, bijective combinatorics
double affine nilcoxeter algebras, Symmetric functions and generalizations, Cauchy's type kernels and symmetric, totally symmetric plane partitions, and alternating sign matrices, 05E05, 05E10, 05A19, plactic monoid and reduced plactic algebras, noncrossing Dyck paths and rectangular Schubert polynomials, nilcoxeter and idcoxeter algebras, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Schubert, \(\beta\)-Grothendieck, key and double key-Grothendieck, and di Francesco-Zinn-Justin polynomials, Combinatorial identities, bijective combinatorics
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