scientific article; zbMATH DE number 2162774

DOI10.1155/IMRN.2005.311zbMath1081.20054arXivmath/0409218OpenAlexW1821103576MaRDI QIDQ4673247

Bogdan Ion

Publication date: 29 April 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409218

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

highest weight modulesirreducible componentsDemazure modulesweight multiplicitiesnonsymmetric Macdonald polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items

Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series ⋮ Weight polytopes and saturation of Demazure characters ⋮ Demazure crystals for specialized nonsymmetric Macdonald polynomials ⋮ Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties