Generalized cartan type k lie algebras in characteristic 0 |
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| Authors: | J. Marshall Osborn Kaiming Zhao |
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| Affiliation: | 1. Department of Mathematics , University of Wisconsin , Madison, WI, 53706;2. Institute of Systems Science , Academia Sinica, Beijing, 100080, China |
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| Abstract: | The Lie algebra of Cartan type K which occurs as a subalgebra of the Lie algebra of derivations of the polynomial algebra F[x0, x1,…, xn,xn?1,…,x?n], where F is a field of characteristic 0, was generalized by the first author to a class which included a subalgebra of the derivations of the Laurent polynomials F[x0,x1,…, xn,x?1,…,x?n,X0 ?1x1 -1,…,xn ?1,…,x?1 ?1…,x?n ?1]A further generalization of these algebras is the main topic of this paper. We show when these algebras are simple, determine all possible |
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| Keywords: | simple Lie algebras generalized Cartan type K Lie algebras contact Lie algebras generalized Cartan type H Lie algebras isomorphisms |
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