Let K be a field, let A be an associative, commutative K-algebra, and let โฌ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m โฌ s Aโฌ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple
Simple Lie algebras of type S
โ Scribed by Robert Lee Wilson
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 368 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0021-8693
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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 โ K = A becomes a Lie algebra, a Witt type algebra. In addition, there is a map div: A โ A called the divergence and i
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