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Quasi-Lie deformations on the algebra F[t]/(tn)
Uppsala University.
Royal Institute of Technology (KTH).
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2008 (English)In: Journal of Generalized Lie Theory and Applications, ISSN 1736-5279, E-ISSN 1736-4337, Vol. 2, no 3, 201-205 p.Article in journal (Refereed) Published
Abstract [en]

This paper explores the quasi-deformation scheme devised by Hartwig, Larsson and Silvestrov as applied to the simple Lie algebra sl2(F). One of the main points of this method is that the quasi-deformed algebra comes endowed with a canonical twisted Jacobi identity. We show in the present article that when the quasi-deformation method is applied to sl2(F) via representations by twisted derivations on the algebra F[t]/(tN) one obtains interesting new multi-parameter families of almost quadratic algebras.

Place, publisher, year, edition, pages
2008. Vol. 2, no 3, 201-205 p.
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22090DOI: 10.4303/jglta/S080318OAI: oai:DiVA.org:mdh-22090DiVA: diva2:682649
Funder
Swedish Research Council
Available from: 2013-12-28 Created: 2013-10-23 Last updated: 2014-01-10Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.4303/jglta/S080318

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Silvestrov, Sergei D.
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