Graded isomorphisms on upper block triangular matrix algebras

We describe the graded isomorphisms of rings of endomorphisms of graded flags over graded division algebras. As a consequence we describe the isomorphism classes of upper block triangular matrix algebras (over an algebraically closed field of characteristic zero) graded by a finite abelian group.

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Bibliographic Details
Published in:Linear algebra and its applications 2018-04, Vol.543, p.92-105
Main Authors: Ramos Borges, Alex, Fidelis, Claudemir, Diniz, Diogo
Format: Article
Language:English
Subjects:
Algebra
Flags
Graded algebra
Graded flag
Isomorphism
Linear algebra
Mathematical analysis
Matrix
Rings (mathematics)
Upper block triangular matrix algebra
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Description
Summary:We describe the graded isomorphisms of rings of endomorphisms of graded flags over graded division algebras. As a consequence we describe the isomorphism classes of upper block triangular matrix algebras (over an algebraically closed field of characteristic zero) graded by a finite abelian group.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.12.011