Representations and Cocycle Twists of Color Lie Algebras

Details Representations and Cocycle Twists of Color Lie Algebras Representations and Cocycle Twists of Color Lie Algebras

2004-07-09

arxiv.org/abs/math/0407165v5

Algebras and Representation Theory, Vol.9, No.6 (2006), 633-650

Mathematics

Representation Theory

18 pages, with an concrete example

Scientific paper

We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra $sl_2^c$.

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