Polynomial algebras on coadjoint orbits of semisimple Lie groups
โ Scribed by Mark J. Gotay; Janusz Grabowski; Bryon Kaneshige
- Book ID
- 108357929
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 83 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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