Sammanfattning
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.
Originalspråk | engelska |
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Sidor (från-till) | 314-361 |
Tidskrift | Journal of Algebra |
Volym | 295 |
Nummer | 2 |
DOI | |
Status | Published - 2006 |
Ämnesklassifikation (UKÄ)
- Matematik