Central polynomials for matrix algebras over the Grassmann algebra
In this work, we describe a method to construct central polynomials forF-algebras where F is a field of characteristic zero. The main application deals with the T-prime algebras Mn(E), where E is the infinite- dimensional Grassmann algebra over F, which play a fundamental role in the theory of PI-algebras. The method is based on the explicit decomposition of the group algebra FSn. AMS Classification 2000: Primary 16R10, Secondary 16W50, 15A75. Keywords: Polynomial identities, central polynomials, Grassmann algebra.
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Jorge, S. M. A., & Vieira, A. C. (2009). Central polynomials for matrix algebras over the Grassmann algebra. São Paulo Journal of Mathematical Sciences, 3(2), 179-191. https://doi.org/10.11606/issn.2316-9028.v3i2p179-191