| Title | Representations and cocycle twists of color Lie algebras |
| Authors | X. -W. Chen, Sergei Silvestrov, F. Van Oystaeyen |
| Alternative Location | http://dx.doi.org/10.1007/s..., Restricted Access |
| Publication | Algebras and Representation Theory |
| Year | 2006 |
| Volume | 9 |
| Issue | 6 |
| Pages | 633 - 650 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer Netherlands |
| Abstract English | 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). |
| Keywords | color Lie algebras, cocycle twists, FCR-algebras, |
| ISBN/ISSN/Other | ISSN: 1386-923X |
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