Cones of highest weight vectors, weight polytopes, and Lusztig's \(q\)-analog

DOI10.1007/BF01234632zbMath0891.22013MaRDI QIDQ1383784

Dmitri I. Panyushev

Publication date: 6 July 1998

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

zbMATH Keywords

representationsinvariant theoryweight multiplicity\(q\)-multiplicityheighest weight vectors

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (4)

Excedances of affine permutations ⋮ Actions of ``nilpotent tori on \(G\)-varieties. ⋮ On actions of a maximal torus on orbits of highest weight vectors ⋮ Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines. (Growth series and Ehrhart polynomials associated to root lattices)

Cites Work

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• A recursive formula for characters of simple Lie algebras
• Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
• Characters and the q -Analog of Weight Multiplicity
• S-function series
• Lie Group Representations on Polynomial Rings
• Characters of Irreducible Representations of the Simple Groups. I. General Theory

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