We write det L L / 0 q y y if the matrix formed by brackets between elements of a basis of L L is nonsinguy lar. Unlike Lie super algebras, a Lie color algebra L L may have det L L / 0 and a Ε½ . universal enveloping algebra U L L which is not prime. We will provide examples Ε½ . and show that U L L i
On Lie algebras having a primitive universal enveloping algebra
β Scribed by Alfons I Ooms
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 811 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0021-8693
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We present an algorithm for the computation of representations of a Lie algebra acting on its universal enveloping algebra. This is a new algorithm which permits the effective computation of these representations and of the matrix elements of the corresponding Lie group. The approach is based on a m