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Representations and Cocycle Twists of Color Lie Algebras

Xiao-Wu Chen·Sergei D. Silvestrov·Fred van Oystaeyen
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Abstract

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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Xiao-Wu Chen, Sergei D. Silvestrov, Fred van Oystaeyen. 2006-11-28. Representations and Cocycle Twists of Color Lie Algebras. https://arxiv.org/abs/math/0407165

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