alexa Contractions of 3-Dimensional Representations of the Lie Algebra sl(2)
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Review Article

Contractions of 3-Dimensional Representations of the Lie Algebra sl(2)

Jan Smotlacha and Goce Chadzitaskos

Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Brehova 7, 110 00 Prague, Czech Republic

Corresponding Author:
Goce Chadzitaskos
Department of Physics
Faculty of Nuclear Sciences and Physical Engineering
Czech Technical University, Brehova 7
110 00 Prague, Czech Republic
E-mail: goce.chadzitaskos@fjfi.cvut.cz

Received Date: September 22, 2011; Accepted Date: January 04, 2012; Published Date: January 06, 2012

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 Z3-grading of the sl(2) Lie algebra.

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