Lie Algebras with a Coalgebra Splitting
โ Scribed by Rolf Farnsteiner
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 355 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1386-923X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 ฮฑ = 0 are called roots and a root ฮฑ is said to be integrable if there are root
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