Brackets with $(\tau,\sigma)$derivations and $(p,q)$deformations of Witt and Virasoro algebras
Abstract
The aim of this paper is to study some brackets defined on $(\tau,\sigma)$derivations satisfying quasiLie identities. Moreover, we provide examples of $(p,q)$deformations of Witt and Virasoro algebras as well as $\mathfrak{sl}(2)$ algebra. These constructions generalize the results obtained by Hartwig, Larsson and Silvestrov on $\sigma$derivations, arising in connection with discretizations and deformations of algebras of vector fields.
 Publication:

arXiv eprints
 Pub Date:
 March 2014
 arXiv:
 arXiv:1403.6291
 Bibcode:
 2014arXiv1403.6291E
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Representation Theory;
 17B37;
 17A30
 EPrint:
 30 pages