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Quasi-Lie deformations on the algebra F[t]/(tn)
Uppsala University.
Royal Institute of Technology (KTH).
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation. (Mathematics/Applied Mathematics)ORCID-id: 0000-0003-4554-6528
2008 (engelsk)Inngår i: Journal of Generalized Lie Theory and Applications, ISSN 1736-5279, E-ISSN 1736-4337, Vol. 2, nr 3, s. 201-205Artikkel i tidsskrift (Fagfellevurdert) 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.

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2008. Vol. 2, nr 3, s. 201-205
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matematik/tillämpad matematik
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URN: urn:nbn:se:mdh:diva-22090DOI: 10.4303/jglta/S080318OAI: oai:DiVA.org:mdh-22090DiVA, id: diva2:682649
Forskningsfinansiär
Swedish Research CouncilTilgjengelig fra: 2013-12-28 Laget: 2013-10-23 Sist oppdatert: 2017-12-06bibliografisk kontrollert

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Forlagets fullteksthttp://dx.doi.org/10.4303/jglta/S080318

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Silvestrov, Sergei D.

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