Types of action of Lie ε-algebras
✍ Scribed by D. A. Rumynin
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 280 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0002-5232
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📜 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 ⊗ K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A → A called the divergence and i