Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra
DOI10.2307/2001357zbMath0696.17007OpenAlexW4238806545MaRDI QIDQ3472272
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001357
enveloping algebraKazhdan-Lusztig polynomialsCartan subalgebraadjoint representationleft cellsGoldie rankcomplex simple Lie algebramultiplicity formulainduced idealmaximal two-sided idealnonregular weightsprincipal series module
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Semisimple Lie groups and their representations (22E46)
Related Items (1)
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
This page was built for publication: Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra
