Representations and Cocycle Twists of Color Lie Algebras
Representations and Cocycle Twists of Color Lie Algebras
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DOI：
10.1007/s10468-006-9027-0
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发表时间：
2004-07
影响因子：
0.6
通讯作者：
Xiao-Wu Chen;S. Silvestrov;F. Oystaeyen
中科院分区：
文献类型：
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作者：
Xiao-Wu Chen;S. Silvestrov;F. Oystaeyen
我们研究颜色李代数的有限维表示与其余循环扭曲之间的关系。主要工具是通用包络代数及其 FCR 性质（有限维表示是完全可简化的）。Cocycle 扭曲保留了 FCR 性质。作为一个应用程序，我们计算颜色李代数的所有有限维表示（直到同构）。
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.