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Derivations and Invariant Forms of Lie Algebras Graded by Finite Root Systems

Published online by Cambridge University Press:  20 November 2018

Georgia Benkart
Georgia Benkart*
Affiliation:
Department of Mathematics University of Wisconsin Madison, Wisconsin 53706 U.S.A.
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Abstract

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Lie algebras graded by finite reduced root systems have been classified up to isomorphism. In this paper we describe the derivation algebras of these Lie algebras and determine when they possess invariant bilinear forms. The results which we develop to do this are much more general and apply to Lie algebras that are completely reducible with respect to the adjoint action of a finite-dimensional subalgebra.

Keywords

17B2017B7017B25
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 2 , 01 April 1998 , pp. 225 - 241
Copyright
Copyright © Canadian Mathematical Society 1998

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