A weight multiplicity formula for Demazure modules

2004/09/14 by Bogdan Ion, Ion, Bogdan
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.math/0409218

11 pg

arxiv created 2004/09/14 · openalex publication_date 2004/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a formula for the weight multiplicities of Demazure modules (in particular for highest weight representations) of a complex connected algebraic group in terms of the geometry of its Langlands dual.

Citations

• Geometric Langlands duality and representations of algebraic groups over commutative rings

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• Weight polytopes and saturation of Demazure characters
• Fusion Product Structure of Demazure Modules
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