Multibracket simple Lie algebras
High Energy Physics - Theory
2008-02-03 v2 Quantum Algebra
q-alg
Abstract
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.
Cite
@article{arxiv.hep-th/9611220,
title = {Multibracket simple Lie algebras},
author = {J. A. de Azcarraga and J. C. Perez Bueno},
journal= {arXiv preprint arXiv:hep-th/9611220},
year = {2008}
}
Comments
Latex file; 5 pages. Some latex problems solved. Talk given at the XXI International Colloquium on Group Theoretical Methods in Physics. July 1996, Goslar, Germany. To appear in the Proceedings