JOURNAL ARTICLE

Abelian Gradings on Upper Block Triangular Matrices

A. ValentiMikhail Zaicev

Year: 2011 Journal:   Canadian Mathematical Bulletin Vol: 55 (1)Pages: 208-213   Publisher: Cambridge University Press

Abstract

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:
Mathematics Abelian group Block (permutation group theory) Pure mathematics Triangular matrix Combinatorics Algebra over a field Invertible matrix

Metrics

16
Cited By
1.68
FWCI (Field Weighted Citation Impact)
16
Refs
0.78
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Advanced Topics in Algebra
Physical Sciences →  Mathematics →  Algebra and Number Theory
Algebraic structures and combinatorial models
Physical Sciences →  Mathematics →  Geometry and Topology
Matrix Theory and Algorithms
Physical Sciences →  Computer Science →  Computational Theory and Mathematics

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