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2012 Contractions of 3-Dimensional Representations of the Lie Algebra $\mathfrak{sl}(2)$
Jan Smotlacha, Goce Chadzitaskos
J. Gen. Lie Theory Appl. 6: 1-6 (2012). DOI: 10.4303/jglta/G110902

Abstract

A theory of grading preserving contractions of representations of Lie algebras has been developed. In this theory, grading of the given Lie algebra is characterized by two sets of parameters satisfying a derived set of equations. Here we introduce a list of resulting 3-dimensional representations for the $\mathbb{Z}_3$-grading of the $\mathfrak{sl}(2)$ Lie algebra.

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Jan Smotlacha. Goce Chadzitaskos. "Contractions of 3-Dimensional Representations of the Lie Algebra $\mathfrak{sl}(2)$." J. Gen. Lie Theory Appl. 6 1 - 6, 2012. https://doi.org/10.4303/jglta/G110902

Information

Published: 2012
First available in Project Euclid: 15 September 2017

zbMATH: 1254.17026
MathSciNet: MR2954626
Digital Object Identifier: 10.4303/jglta/G110902

Subjects:
Primary: 20G05, 22D20

Rights: Copyright © 2012 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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