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Simple Lie Algebras of Type A

โœ 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

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Let K be a field, let A be an associative, commutative K-algebra, and let โŒฌ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m โŒฌ s AโŒฌ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple