A class of simple Lie algebras of characteristic three

Author:

Brown Gordon

Abstract

We show the existence of a certain infinite class of simple Lie algebras of characteristic three. These algebras, although of neither classical nor Cartan type, resemble algebras of Cartan type in their relationship to each other.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Classification of the restricted simple Lie algebras;Block, Richard E.;J. Algebra,1988

2. Properties of a 29-dimensional simple Lie algebra of characteristic three;Brown, Gordon;Math. Ann.,1982

3. Freudenthal triple systems of characteristic three;Brown, Gordon;Algebras Groups Geom.,1984

4. A construction of Lie algebras from a class of ternary algebras;Faulkner, John R.;Trans. Amer. Math. Soc.,1971

5. A new simple Lie algebra of characteristic three;Frank, Marguerite;Proc. Amer. Math. Soc.,1973

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Maximal tori of the Frank algebra;Journal of Mathematical Sciences;2012-07-29

2. Filtered deformations of the Frank algebras;Russian Mathematics;2009-08

3. Lie Algebras of CL Type;Journal of Algebra;2002-03

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