Abelian gradings on upper-triangular matrices
Let \(F\) be an algebraically closed field of characteristic zero and let \(G\) be a finite Abelian group. The authors describe all \(G\)-gradings of the algebra of upper-triangular matrices. It is shown that each such grading is isomorphic to an elementary grading, i.e. to a grading for which all (upper-triangular) matrix units are homogeneous elements.
scientific article; zbMATH DE number 1947296