Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2799

 Title: Central A-polynomials for the Grassmann Algebra Authors: Pereira Brandão Jr., AntônioJosé Gonçalves, Dimas Keywords: A-IdentityCentral A-PolynomialGrassmann Algebra Issue Date: 2012 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 38, No 1-3, (2012), 297p-312p Abstract: Let F be an algebraically closed field of characteristic 0, and let G be the infinite dimensional Grassmann (or exterior) algebra over F. In 2003 A. Henke and A. Regev started the study of the A-identities. They described the A-codimensions of G and conjectured a finite generating set of the A-identities for G. In 2008 D. Gonçalves and P. Koshlukov answered in the affirmative their conjecture. In this paper we describe the central A-polynomials for G. Description: 2010 Mathematics Subject Classification: 16R10, 16R40, 16R50. URI: http://hdl.handle.net/10525/2799 ISSN: 1310-6600 Appears in Collections: Volume 38, Number 1-3

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