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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 275250, 8 pages
http://dx.doi.org/10.1155/2013/275250
Research Article

A Realization of Hom-Lie Algebras by Iso-Deformed Commutator Bracket

Department of Mathematics, Tongji University, Shanghai 200092, China

Received 21 March 2013; Accepted 19 June 2013

Academic Editor: Shi Weichen

Copyright © 2013 Xiuxian Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We construct classical Iso-Lie and Iso-Hom-Lie algebras in by twisted commutator bracket through Iso-deformation. We prove that they are simple. Their Iso-automorphisms and isotopies are also presented.