A Demazure crystal construction for Schubert polynomials

DOI10.5802/alco.13zbMath1390.14162arXiv1705.09649OpenAlexW2618078593MaRDI QIDQ1637375

Sami Assaf, Anne Schilling

Publication date: 8 June 2018

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09649

zbMATH Keywords

Schubert polynomialsDemazure charactersStanley symmetric functionscrystal bases

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Quantum groups (quantized function algebras) and their representations (20G42) Classical problems, Schubert calculus (14N15) Group actions on combinatorial structures (05E18)

Related Items

Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials ⋮ Locks fit into keys: a crystal analysis of lock polynomials ⋮ Weak dual equivalence for polynomials ⋮ Grothendieck-to-Lascoux expansions ⋮ Colored five-vertex models and Demazure atoms ⋮ Polynomials from Combinatorial -theory ⋮ Nonsymmetric Macdonald polynomials and a refinement of Kostka–Foulkes polynomials ⋮ Demazure crystals for specialized nonsymmetric Macdonald polynomials ⋮ Crystal structures for symmetric Grothendieck polynomials ⋮ Crystal structures for symmetric Grothendieck polynomials ⋮ Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials ⋮ The ``Young and ``reverse dichotomy of polynomials

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