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Growth for the central polynomials

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

preprint2015arXivOpen access
Amitai Regev
math.RT
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Amitai Regev

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