paper

Graded Isomorphisms on Upper Block Triangular Matrix Algebras

arXiv:1708.04679 · doi:10.1016/j.laa.2017.12.011

Abstract

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