Generalized cartan type k lie algebras in characteristic 0
Titel:
Generalized cartan type k lie algebras in characteristic 0
Auteur:
Osborn, J. Marshall Zhao, Kaiming
Verschenen in:
Communications in algebra
Paginering:
Jaargang 25 (1997) nr. 10 pagina's 3325-3360
Jaar:
1997
Inhoud:
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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