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RESEARCH PRODUCT
Irreducible Finitary Lie Algebras over Fields of Characteristic Zero
Orazio PuglisiFelix Leinensubject
Discrete mathematicsPure mathematicsAlgebra and Number TheorySimple Lie groupNon-associative algebraFundamental representation(gK)-moduleKilling formAffine Lie algebraMathematicsLie conformal algebraGraded Lie algebradescription
Abstract A Lie subalgebraLof g l K (V) is said to befinitaryif it consists of elements of finite rank. We show that if Char K = 0, if dim K Vis infinite, and ifLacts irreducibly onV, then the derived algebra ofLis simple.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-12-01 | Journal of Algebra |