Deformations of Lie algebras using σ-derivations |
| |
Institution: | 1. Department of Mathematics, Chalmers University of Technology and Göteborg University, SE-412 96 Göteborg, Sweden;2. Centre for Mathematical Sciences, Department of Mathematics, Lund Institute of Technology, Lund University, Box 118, SE-221 00 Lund, Sweden |
| |
Abstract: | In this article we develop an approach to deformations of the Witt and Virasoro algebras based on σ-derivations. We show that σ-twisted Jacobi type identity holds for generators of such deformations. For the σ-twisted generalization of Lie algebras modeled by this construction, we develop a theory of central extensions. We show that our approach can be used to construct new deformations of Lie algebras and their central extensions, which in particular include naturally the q-deformations of the Witt and Virasoro algebras associated to q-difference operators, providing also corresponding q-deformed Jacobi identities. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|