Multibracket simple Lie algebras

Details Multibracket simple Lie algebras Multibracket simple Lie algebras

1996-11-26

arxiv.org/abs/hep-th/9611220v2

Group 21: Physical Applications and Mathematical Aspects of Geometry, Groups and Algebra, Vol I, pp. 103-107. World Sci. 1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex file; 5 pages. Some latex problems solved. Talk given at the XXI International Colloquium on Group Theoretical Methods i

Scientific paper

We introduce higher-order (or multibracket) simple Lie algebras that generalize the ordinary Lie algebras. Their `structure constants' are given by Lie algebra cohomology cocycles which, by virtue of being such, satisfy a suitable generalization of the Jacobi identity. Finally, we introduce a nilpotent, complete BRST operator associated with the l multibracket algebras which are based on a given simple Lie algebra of rank l.

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