Journal of Generalized Lie Theory and Applications

Color Lie algebras and Lie algebras of order F

R. CAMPOAMOR-STURSBERG and M. RAUSCH DE TRAUBENBERG

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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.

Article information

Source
J. Gen. Lie Theory Appl., Volume 3, Number 2 (2009), Article ID S090203, 113-130.

Dates
First available in Project Euclid: 7 October 2011

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1318008548

Digital Object Identifier
doi:10.4303/jglta/S090203

Mathematical Reviews number (MathSciNet)
MR2504873

Zentralblatt MATH identifier
1207.17038

Subjects
Primary: 17B70: Graded Lie (super)algebras 17B75: Color Lie (super)algebras 17B81: Applications to physics

Citation

CAMPOAMOR-STURSBERG, R.; RAUSCH DE TRAUBENBERG, M. Color Lie algebras and Lie algebras of order F. J. Gen. Lie Theory Appl. 3 (2009), no. 2, Article ID S090203, 113--130. doi:10.4303/jglta/S090203. https://projecteuclid.org/euclid.jglta/1318008548


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