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About Leibniz cohomology and deformations of Lie algebras
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fialowski, Alice Magnin, Louis Mandal, Ashis |
| Copyright Year | 2011 |
| Abstract | We compare the second adjoint and trivial Leibniz cohomology spaces of a Lie algebra to the usual ones by a very elementary approach. The comparison gives some conditions, which are easy to verify for a given Lie algebra, for deciding whether it has more Leibniz deformations than just the Lie ones. We also give the complete description of a Leibniz (and Lie) versal deformation of the 4-dimensional diamond Lie algebra, and study the case of its 5-dimensional analogue. |
| Starting Page | 63 |
| Ending Page | 77 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jalgebra.2013.02.024 |
| Alternate Webpage(s) | http://web.cs.elte.hu/~fialowsk/pubs-af/Stasheff-Leibniz-v3.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1103.2694v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |