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Group Gradings on Associative Algebras with Involution

Published online by Cambridge University Press:  20 November 2018

Y. A. Bahturin  and
A. Giambruno
Y. A. Bahturin
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL, A1C 5S7 e-mail: yuri@math.mun.ca
A. Giambruno
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Palermo, 90123 Palermo, Italy e-mail: agiambr@unipa.it
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Abstract

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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.

Keywords

16W1016W50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 2 , 01 June 2008 , pp. 182 - 194
Copyright
Copyright © Canadian Mathematical Society 2008

References

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