A sum rule for scale factors in the Goldie rank polynomials

DOI10.1016/0021-8693(88)90022-1zbMath0699.17014OpenAlexW2021085531MaRDI QIDQ912959

Anthony Joseph

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90022-1

zbMATH Keywords

Weyl grouppolynomialsinvolutionsranksirreducible characterssemisimple Lie algebranilpotent orbitcomponent groupHecke algebra moduleKazhdan-LusztigLusztig cellratios of Goldie

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items

Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules., Characters for unipotent representations, A sum rule for scale factors in the Goldie rank polynomials (Addendum), Unnamed Item, Unnamed Item, KOSTANT'S PROBLEM AND PARABOLIC SUBGROUPS, Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de lie semi-simples, Dimensions of irreducible modules over \(W\)-algebras and Goldie ranks

Cites Work

• On the variety of a highest weight module
• On a theorem of Benson and Curtis
• Goldie rank in the enveloping algebra of a semisimple Lie algebra. III
• The modular representation algebra of a finite group
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Modules of t-Finite Vectors Over Semi-Simple Lie Algebras
• Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra
• Second Commutant Theorems in Enveloping Algebras
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