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# Abelian Gradings on Upper Block Triangular Matrices

Published:2011-03-23
Printed: Mar 2012
• Angela Valenti,
Dipartimento di Metodi e Modelli Matematici, Universitá di Palermo, Palermo, Italy
• Mikhail Zaicev,
Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
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## Abstract

Let $G$ be an arbitrary finite abelian group. We describe all possible $G$-gradings on upper block triangular matrix algebras over an algebraically closed field of characteristic zero.
 Keywords: gradings, upper block triangular matrices
 MSC Classifications: 16W50 - Graded rings and modules