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Derivations and invariant forms of Lie algebras graded by finite root systems

  Published:1998-04-01
 Printed: Apr 1998
  • Georgia Benkart
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Abstract

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.
MSC Classifications: 17B20, 17B70, 17B25 show english descriptions Simple, semisimple, reductive (super)algebras
Graded Lie (super)algebras
Exceptional (super)algebras
17B20 - Simple, semisimple, reductive (super)algebras
17B70 - Graded Lie (super)algebras
17B25 - Exceptional (super)algebras
 

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