Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Abstract
2010 Mathematics Subject Classification: 16R10, 16R40, 16R50.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.∗ Partially supported by CNPq/Brazil 620150/2008-4, and by INCT. ∗∗ Supported by DPP/UnB and by CNPq-FAPDF PRONEX grant 2009/00091-0 193.000.580/2009)
