Note on co-split Lie algebras
β Scribed by Limeng Xia
- Book ID
- 118813656
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2012
- Tongue
- English
- Weight
- 120 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1860-6261
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π SIMILAR VOLUMES
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
A Lie algebra is said to be split graded if it is graded by a torsion free abelian group Q in such a way that the subalgebra 0 is abelian and the operators ad 0 are diagonalized by the grading. The elements of Q \ 0 with Ξ± = 0 are called roots and a root Ξ± is said to be integrable if there are root