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Abelian Gradings on Upper Block Triangular Matrices

Open Access article
 Printed: Mar 2012
  • Angela Valenti,
    Dipartimento di Metodi e Modelli Matematici, Universit√° di Palermo, Palermo, Italy
  • Mikhail Zaicev,
    Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
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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 gradings, upper block triangular matrices
MSC Classifications: 16W50 show english descriptions Graded rings and modules 16W50 - Graded rings and modules

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