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 quasi-Lie 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:
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arXiv e-prints
- Pub Date:
- March 2014
- DOI:
- 10.48550/arXiv.1403.6291
- arXiv:
- arXiv:1403.6291
- Bibcode:
- 2014arXiv1403.6291E
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Representation Theory;
- 17B37;
- 17A30
- E-Print:
- 30 pages