A \(q\)-analog of Freudenthal's weight multiplicity formula

DOI10.1016/S0019-3577(00)88576-6zbMath1030.17015MaRDI QIDQ5935888

Joshua M. Lansky

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

affine Weyl groupKazhdan-Lusztig polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Uses Software

• Maple

Cites Work

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• Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
• Representations of Coxeter groups and Hecke algebras
• The enumeration of fully commutative elements of Coxeter groups
• The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants

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