On central polynomials and codimension growth

Authors: FABRIZIO MARTINO

Abstract: Let $A$ be an associative algebra over a field of characteristic zero. A central polynomial is a polynomial of the free associative algebra that takes central values of $A.$ In this survey, we present some recent results about the exponential growth of the central codimension sequence and the proper central codimension sequence in the setting of algebras with involution and algebras graded by a finite group.

Keywords: Polynomial identity, central polynomials, exponent, codimension growth

Full Text: PDF