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Brackets with (τ,σ)-derivations and (p,q)-deformations of Witt and Virasoro algebras
Laboratoire de Mathématiques, Informatique et Applications, Université de Haute Alsace, Mulhouse, France.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-3204-617X
Laboratoire de Mathématiques Informatique et Applications, Université de Haute Alsace, Mulhouse, France.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)In: Forum mathematicum, ISSN 0933-7741, E-ISSN 1435-5337, Vol. 28, no 4, 657-673 p.Article in journal (Refereed) Published
Resource type
Text
Abstract [en]

The aim of this paper is to study some brackets defined on (τ,σ)-derivations satisfying quasi-Lie identities. Moreover, we provide examples of (p, q)-deformations of Witt and Virasoro algebras as well as sl(2) algebra. These constructions generalize the results obtained by Hartwig, Larsson and Silvestrov on σ-derivations, arising in connection with discretizations and deformations of algebras of vector fields.

Place, publisher, year, edition, pages
2016. Vol. 28, no 4, 657-673 p.
Keyword [en]
(τ, σ)-derivations, Hom-Lie algebra, (p, q)-deformation, quasi-Lie algebra, sl(2) algebra, Virasoro algebra, Witt algebra
National Category
Mathematics Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-32407DOI: 10.1515/forum-2014-0132ISI: 000378911400003Scopus ID: 2-s2.0-84978175958OAI: oai:DiVA.org:mdh-32407DiVA: diva2:950169
Available from: 2016-07-28 Created: 2016-07-28 Last updated: 2016-10-24Bibliographically approved

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