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
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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