On ad-semisimple Lie algebras
โ Scribed by Rolf Farnsteiner
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 515 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The adjoint action of a finite group of Lie type on its Lie algebra is studied. A simple formula is conjectured for the number of semisimple orbits of a given split genus. This conjecture is proved for type A, and partial results are obtained for other types. For type A a probabilistic interpretatio
Random walk on the chambers of hyperplane arrangements is used to define a family of card shuffling measures H W x for a finite Coxeter group W and real x = 0. By algebraic group theory, there is a map from the semisimple orbits of the adjoint action of a finite group of Lie type on its Lie algebra
Let แ be a semisimple Lie algebra. Consider the set X X of primitive ideals of the ลฝ . enveloping algebra U แ , given the Jacobson topology. A basic open problem is to describe X X as a countable union of algebraic varieties V V with strata V V as large as possible. Towards this aim the notion of a