KOSTANT'S PROBLEM AND PARABOLIC SUBGROUPS

DOI10.1017/S0017089509990127zbMath1257.17010arXiv0806.2917OpenAlexW2108366116MaRDI QIDQ3655767

Johan Kåhrström

Publication date: 12 January 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2917

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Parabolic projective functors in type \(A\) ⋮ Kostant's problem for Whittaker modules ⋮ Some homological properties of the category 𝒪, II

Cites Work

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• Cells in affine Weyl groups. II
• Ordering of the primitive spectrum of a semisimple Lie algebra
• A sum rule for scale factors in the Goldie rank polynomials
• Categorification of Wedderburn's basis for \({\mathbb{C}}[S_{n}\)]
• Categorification of (induced) cell modules and the rough structure of generalised Verma modules
• Moduln mit einem höchsten Gewicht
• Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II
• Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture
• Representations of Coxeter groups and Hecke algebras
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Wave equation scattering in even-dimensional spaces
• The composition series of modules induced from Whittaker modules
• Category \({\mathcal O}\): gradings and translation functors.
• On Arkhipov's and Enright's functors.
• A TWISTED APPROACH TO KOSTANT'S PROBLEM
• Dixmier's Problem for Verma and Principal Series Submodules
• COMPOSITION FACTORS OF QUOTIENTS OF THE UNIVERSAL ENVELOPING ALGEBRA BY PRIMITIVE IDEALS
• Structure of Modules Induced from Simple Modules with Minimal Annihilator
• Twisting functors on 𝒪