Growth for the central polynomials

preprint2015arXivOpen access

Abstract

We study the growth of the central polynomials for the algebras GG and Mk(F)M_k(F), the infinite dimensional Grassmann algebra and the k×kk\times k matrices over a field FF of characteristic zero. In particular it follows that Mk(F)M_k(F) satisfy many proper central polynomials.

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