Simple Lie Algebras of Type A
โ Scribed by N. Jacobson
- Book ID
- 123668024
- Publisher
- National Academy of Sciences
- Year
- 1937
- Tongue
- English
- Weight
- 184 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/86661
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๐ SIMILAR VOLUMES
We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).
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