The first family of Kac-Moody Lie algebras studied are the simple Lie algebras. The study of nilpotent Lie algebras of maximal rank and of type A B C D was made by Favre and Santharoubane in [5]. Later, Agrafiotou and Tsagas studied these algebras, of types E 6 E 7 , and E 8 finding that there exist
Lie algebras of type E6
β Scribed by J.C Ferrar
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 954 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
The notion of a strongly nilpotent element of a Lie algebra is introduced. According to the existence or nonexistence of nontrivial strongly nilpotent elements, the simple modular Lie algebras are divided into two categories, CA type and CL type, which coincide with Lie algebras of generalized Carta
Let K be a field, let A be an associative, commutative K-algebra, and let ⬠be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m ⬠s A⬠becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple
Let K be a field, let A be an associative, commutative K-algebra, and let be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A = A β K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A β A called the divergence and i