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Group Gradings on Associative Algebras with Involution

Open Access article
  Published:2008-06-01
 Printed: Jun 2008
  • Y. A. Bahturin
  • A. Giambruno
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Abstract

In this paper we describe the group gradings by a finite abelian group $G$ of the matrix algebra $M_n(F)$ over an algebraically closed field $F$ of characteristic different from 2, which respect an involution (involution gradings). We also describe, under somewhat heavier restrictions on the base field, all $G$-gradings on all finite-dimensional involution simple algebras.
 

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