Demazure modules and perfect crystals

DOI10.1007/s002200050309zbMath0908.17009arXivq-alg/9607011OpenAlexW1968313061MaRDI QIDQ1268054

Kailash C. Misra, Masato Okado, Jun Uchiyama, Atsuo Kuniba

Publication date: 7 January 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9607011

zbMATH Keywords

crystalsDemazure charactersDemazure modulesKostka-Foulkes polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35)

Related Items (10)

Demazure Crystals and Extended Young Diagrams ⋮ Littelmann paths for the basic representation of an affine Lie algebra ⋮ Expected degree of weights in Demazure modules of \({\widehat{\mathfrak{sl}}_2}\) ⋮ Paths, Demazure crystals, and symmetric functions ⋮ Demazure crystals of type \(A_{n}\) and Young walls ⋮ On Demazure crystals for $U_{q}(G_{2}^{(1)})$ ⋮ Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾ ⋮ Crystals for Demazure modules of classical affine Lie algebras ⋮ Characters of Demazure modules and solvable lattice models ⋮ Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties

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