| Title | Quasi-Deformations of sl2(F) Using Twisted Derivations |
| Authors | Sergei Silvestrov, Daniel Larsson |
| Alternative Location | http://www.informaworld.com..., Restricted Access |
| Alternative Location | http://dx.doi.org/10.1080/0..., Restricted Access |
| Publication | Communications in Algebra |
| Year | 2007 |
| Volume | 35 |
| Issue | 12 |
| Pages | 4303 - 4318 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Taylor & Francis |
| Abstract English | In this article we apply a method devised in Hartwig, Larsson, and Silvestrov (2006) and Larsson and Silvestrov (2005a) to the simple 3-dimensional Lie algebra sl2(F). One of the main points of this deformation method is that the deformed algebra comes endowed with a canonical twisted Jacobi identity. We show in the present article that when our deformation scheme is applied to sl2(F) we can, by choosing parameters suitably, deform sl2(F) into the Heisenberg Lie algebra and some other 3-dimensional Lie algebras in addition to more exotic types of algebras, this being in stark contrast to the classical deformation schemes where sl2(F) is rigid. |
| Keywords | Twisted derivation, Quasi-deformations, Twisted Jacobi identity, Quasi-Lie algebras, |
| ISBN/ISSN/Other | ISSN: 0092-7872 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)