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Graded polynomial identities and exponential growth

Authors
  • Aljadeff, Eli
  • Giambruno, Antonio
  • La Mattina, Daniela
Type
Preprint
Publication Date
Mar 10, 2009
Submission Date
Mar 10, 2009
Source
arXiv
License
Yellow
External links

Abstract

Let A be a finite dimensional algebra over a field of characteristic zero graded by a finite abelian group G. Here we study a growth function related to the graded polynomial identities satisfied by A by computing the exponential rate of growth of the sequence of graded codimensions of A. We prove that the G-exponent of A exists and is an integer related in an explicit way to the dimension of a suitable semisimple subalgebra of A.

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