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arXiv · hep-th/9605213

Higher-order simple Lie algebras

J. A. de Azcarraga·J. C. Perez Bueno
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Abstract

It is shown that the non-trivial cocycles on simple Lie algebras may be used to introduce antisymmetric multibrackets which lead to higher-order Lie algebras, the definition of which is given. Their generalised Jacobi identities turn out to be satisfied by the antisymmetric tensors (or higher-order `structure constants') which characterise the Lie algebra cocycles. This analysis allows us to present a classification of the higher-order simple Lie algebras as well as a constructive procedure for them. Our results are synthesised by the introduction of a single, complete BRST operator associated with each simple algebra.

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BibTeXRIS

J. A. de Azcarraga, J. C. Perez Bueno. 1997-04-09. Higher-order simple Lie algebras. https://doi.org/10.1007/s002200050079

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