| Title | Cohomology of 3-dimensional color Lie algebras |
| Authors | Dmitri Piontkovski, Sergei Silvestrov |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Algebra |
| Year | 2007 |
| Volume | 316 |
| Issue | 2 |
| Pages | 499 - 513 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract English | We develop the cohomology theory of color Lie algebras due to Scheunert-Zhang in a framework of non-homogeneous quadratic Koszul algebras. In this approach, the Chevalley-Eilenberg complex of a color Lie algebra becomes a standard Koszul complex for its universal enveloping algebra, providing a constructive method for computation of cohomology. As an application, we compute cohomologies with trivial coefficients of Z(2)(n)-graded 3-dimensional color Lie algebras. 2 (c) 2006 Elsevier Inc. All rights reserved. |
| Keywords | color Lie algebras, Koszul algebras, quadratic algebras, cohomology, |
| ISBN/ISSN/Other | ISSN: 0021-8693 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)