On Demazure polynomials

DOI10.1016/j.jalgebra.2006.07.002zbMath1134.17012OpenAlexW1993766423MaRDI QIDQ863364

Séverine Verneyre-Petitgirard

Publication date: 26 January 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.07.002

zbMATH Keywords

Lie algebraKac-Moody algebraDemazure moduleDemazure polynomials

Mathematics Subject Classification ID

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

Cites Work

• Demazure character formula in arbitrary Kac-Moody setting
• Combinatorial results on Demazure modules
• The structure of total reflection orders in affine root systems
• Real characters for Demazure modules of rank two affine Lie algebras
• Désingularisation des variétés de Schubert généralisées
• Differential Equations Invariant Under Finite Reflection Groups
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