Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra
From MaRDI portal
Publication:3831172
DOI10.2307/2001357zbMath0676.17009OpenAlexW4238806545MaRDI QIDQ3831172
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001357
enveloping algebraKazhdan-Lusztig polynomialsadjoint representationleft cellsGoldie rankcomplex simple Lie algebramaximal two-sided idealprincipal series moduleVerma module with highest weight
Universal enveloping (super)algebras (17B35) Semisimple Lie groups and their representations (22E46)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the variety of a highest weight module
- On Joseph's construction of Weyl group representations
- Primitive ideals and orbital integrals in complex exceptional groups
- On the associated variety of a primitive ideal
- A criterion for an ideal to be induced
- Moduln mit einem höchsten Gewicht
- Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II
- On the fixed point set of a unipotent element on the variety of Borel subgroups
- Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture
- Primitive ideals and orbital integrals in complex classical groups
- Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
- Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
- Irreducible representations of finite classical groups
- Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
- Some numerical results on the characters of exceptional Weyl groups
- Characters of Reductive Groups over a Finite Field. (AM-107)
- Dixmier's Problem for Verma and Principal Series Submodules
- The minimal orbit in a simple Lie algebra and its associated maximal ideal
- Induced Unipotent Classes
- Some Irreducible Representations of Weyl Groups
