Expected degree of weights in Demazure modules of \({\widehat{\mathfrak{sl}}_2}\)

DOI10.1007/s00031-011-9129-6zbMath1288.17005arXiv1005.3256OpenAlexW3103223900MaRDI QIDQ413934

Thomas Bliem, Stavros Kousidis

Publication date: 8 May 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3256

zbMATH Keywords

affine algebraDemazure moduleweight multiplicity

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (2)

Distributions defined by \(q\)-supernomials, fusion products, and Demazure modules ⋮ ON THE LAW OF LARGE NUMBERS FOR DEMAZURE MODULES OF $\widehat{\mathfrak{sl}}_2$

Cites Work

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• Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers
• Demazure character formula in arbitrary Kac-Moody setting
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Demazure modules and perfect crystals
• The crystal base and Littelmann's refined Demazure character formula
• Real characters for Demazure modules of rank two affine Lie algebras
• Demazure modules and vertex models: The sl̂(2) case
• Tensor Product Structure of Affine Demazure Modules and Limit Constructions

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