Automorphisms of finite order of semisimple Lie algebras
β Scribed by V. G. Kats
- Publisher
- Springer US
- Year
- 1969
- Tongue
- English
- Weight
- 204 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0016-2663
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π 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
We describe an algorithm for constructing irreducible representations of split semisimple Lie algebras in characteristic 0. The algorithm calculates a Gr obner basis of a certain left ideal in a universal enveloping algebra. It is shown that this algorithm runs in polynomial time if the Lie algebra