| Title | Deformations of Lie Algebras using σ-Derivations |
| Authors | Jonas Hartwig, Daniel Larsson, Sergei Silvestrov |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Algebra |
| Year | 2006 |
| Volume | 295 |
| Issue | 2 |
| Pages | 314 - 361 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier Science Inc. |
| Abstract English | In this article we develop an approach to deformations of the Witt and Virasoro algebras based on sigma-derivations. We show that sigma-twisted Jacobi type identity holds for generators of such deformations. For the sigma-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. (c) 2005 Elsevier Inc. All rights reserved. |
| Keywords | q-Witt algebras, q-Virasoro algebras, Jacobi, type identities, Lie algebras, sigma-derivations, extensions, deformation theory, |
| ISBN/ISSN/Other | ISSN: 0021-8693 |
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