Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/104078
Type: Artigo de periódico
Title: Central Polynomials For Z2-graded Algebras And For Algebras With Involution
Author: Pereira Brandao Jr. A.
Koshlukov P.
Abstract: We describe the Z2-graded central polynomials for the matrix algebra of order two, M2 (K), and for the algebras M1, 1 (E) and E ⊗ E over an infinite field K, char K ≠ 2. Here E is the infinite-dimensional Grassmann algebra, and M1, 1 (E) stands for the algebra of the 2 × 2 matrices whose entries on the diagonal belong to E0, the centre of E, and the off-diagonal entries lie in E1, the anticommutative part of E. It turns out that in characteristic 0 the graded central polynomials for M1, 1 (E) and E ⊗ E are the same (it is well known that these two algebras satisfy the same polynomial identities when char K = 0). On the contrary, this is not the case in characteristic p > 2. We describe systems of generators for the Z2-graded central polynomials for all these algebras. Finally we give a generating set of the central polynomials with involution for M2 (K). We consider the transpose and the symplectic involutions. © 2006 Elsevier Ltd. All rights reserved.
Editor: 
Rights: fechado
Identifier DOI: 10.1016/j.jpaa.2006.03.022
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-33751350549&partnerID=40&md5=cd8b6166d0f21dcd4164f5250451c956
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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