An algorithm for the decomposition of semisimple Lie algebras
β Scribed by W.A. de Graaf
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 356 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0304-3975
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β¦ Synopsis
We consider the problem of decomposing a semisimple Lie algebra defined over a field of characteristic zero as a direct sum of its simple ideals. The method is based on the decomposition of the action of a Car-tan subalgebra. An implementation of the algorithm in the system ELIAS is discussed at the end of the paper.
π SIMILAR VOLUMES
Let α be a semisimple Lie algebra. Consider the set X X of primitive ideals of the Ε½ . enveloping algebra U α , given the Jacobson topology. A basic open problem is to describe X X as a countable union of algebraic varieties V V with strata V V as large as possible. Towards this aim the notion of a
We present a combinatorial algorithm for computing the positive roots of all nine types of simple Lie algebras over complexes. It was implemented on a programmable desk calculator. Simple Lie algebras play a key role in many bran-6