Open Access
May 2009 Color Lie algebras and Lie algebras of order F
R. CAMPOAMOR-STURSBERG, M. RAUSCH DE TRAUBENBERG
J. Gen. Lie Theory Appl. 3(2): 113-130 (May 2009). DOI: 10.4303/jglta/S090203

Abstract

The notion of color algebras is generalized to the class of $F$-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras. It is, moreover, shown that color algebras admit realizations as $q=0$ quon algebras.

Citation

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R. CAMPOAMOR-STURSBERG. M. RAUSCH DE TRAUBENBERG. "Color Lie algebras and Lie algebras of order F." J. Gen. Lie Theory Appl. 3 (2) 113 - 130, May 2009. https://doi.org/10.4303/jglta/S090203

Information

Published: May 2009
First available in Project Euclid: 7 October 2011

zbMATH: 1207.17038
MathSciNet: MR2504873
Digital Object Identifier: 10.4303/jglta/S090203

Subjects:
Primary: 17B70 , 17B75 , 17B81

Rights: Copyright © 2009 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.3 • No. 2 • May 2009
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