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
✦ LIBER ✦
On automorphisms and adjoint orbits of real semisimple Lie algebras
✍ Scribed by Dragomir Z̆ Đoković
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 655 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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The surjectivity of the exponential function of complex algebraic, in particular of complex semisimple Lie groups, and of complex splittable Lie groups is equivalent to the connectedness of the centralizers of the nilpotent elements in the Lie algebra. This implies that the only complex semisimple L