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Representations and Cocycle Twists of Color Lie Algebras |
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| Authors: | X.-W. Chen S. D. Silvestrov F. Van Oystaeyen |
| Affiliation: | (1) Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, PR China;(2) Centre for Mathematical Sciences, Department of Mathematics, Lund Institute of Technology, Lund University, Box 118, SE-221 00 Lund, Sweden;(3) Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium |
| 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  .Presented by A. Verschoren. |
| Keywords: | 16W35 16W70 16W50 |
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