Demazure Modules and Perfect Crystals

Abstract

We give a criterion for the Demazure crystal $B_w(\lambda )$ defined by Kashiwara to have a tensor product structure. We study the $\sln$ symmetric tensor case, and see some Demazure characters are expressed using Kostka-Foulkes polynomials.

16 pages, LaTeX

References in corpus (2)

• Dilogarithm identities
• Kostka Polynomials and Energy Functions in Solvable Lattice Models

Cited by in corpus (5)

• Paths, Demazure Crystals and Symmetric Functions
• On $q$-Clebsch Gordan Rules and the Spinon Character Formulas for Affine $C_2^{(1)}$ Algebra
• Crystals for Demazure Modules of Classical Affine Lie Algebras
• A Semi-Infinite Construction of Unitary N=2 Modules
• Characters of Demazure modules and solvable lattice models