Quasi-Deformations of sl_2(\F) using twisted derivations
| dc.creator | Larsson, Daniel | |
| dc.creator | Silvestrov, Sergei D. | |
| dc.date | 2005-06-09 | |
| dc.date | 2005-10-17 | |
| dc.date.accessioned | 2026-07-07T06:40:14Z | |
| dc.date.available | 2026-07-07T06:40:14Z | |
| dc.description | In this paper we apply a method devised in \cite{HartLarsSilv1D,LarsSilv1D} to the three-dimensional simple Lie algebra $\sll$. 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 paper that when our deformation scheme is applied to $\sll$ we can, by choosing parameters suitably, deform $\sll$ into the Heisenberg Lie algebra and some other three-dimensional Lie algebras in addition to more exotic types of algebras, this being in stark contrast to the classical deformation schemes where $\sll$ is rigid. The resulting algebras are quadratic and we point out possible connections to ``geometric quadratic algebras'' such as the Artin--Schelter regular algebras, studied extensively since the beginning of the 90's in connection with non-commutative projective geometry. | |
| dc.description | Misprints and a few minor mistakes has been corrected | |
| dc.identifier | https://arxiv.org/abs/math/0506172 | |
| dc.identifier | http://arxiv.org/abs/math/0506172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101343 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37 | |
| dc.title | Quasi-Deformations of sl_2(\F) using twisted derivations | |
| dc.type | text |