Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85620
Type: Artigo de periódico
Title: G-identities For The Lie Algebra Sl2(c)
Author: Koshlukov P.
Mattos Mortari A.D.
Abstract: In this paper we study the G-identities for the Lie algebra sl2(C) over the complex field C. If sl2(C) is acted on faithfully by a finite group G then G is isomorphic to one of the following groups: Cn, Dn, A4, S4, A5. Here Cn is the cyclic group of order n, Dn is the dihedral group (of order 2n), An and Sn stand for the alternating and for the symmetric group permuting n letters, respectively. In each one of the above cases we describe a basis of the G-identities for sl2(C). In order to do that we use the explicit form of the graded identities for sl2(C) as well as properties of the group algebras of the corresponding groups. The same problem for the associative algebra M2(C) of the 2 × 2 matrices was settled by A. Berele in 2004.
Editor: Elsevier
Rights: fechado
Identifier DOI: 10.1016/j.jpaa.2014.09.005
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84920973539&partnerID=40&md5=24c8f84a5d75670d029b1788d3e49b8f
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
2-s2.0-84920973539.pdf436.46 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.