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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

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

Abstract

Jan Smotlacha and Goce Chadzitaskos

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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