Rational forms for twistings of enveloping algebras of simple Lie algebras
β Scribed by Benjamin Enriquez
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 394 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
This paper examines the Lie structure of restricted universal enveloping algebras \(u(L)\) over fields of characteristic \(p>0\). It is determined precisely when \(u(L)\), considered as a Lie algebra, is soluble (for \(p>2\) ), nilpotent, or satisfies the Engel condition. 1993 Acadernic Press. Inc.