On gradings of matrix algebras and descent theory
Rings and Algebras
2007-05-23 v1
Abstract
We classify gradings on matrix algebras by a finite abelian group. A grading is called good if all elementary matrices are homogeneous. For cyclic groups, all gradings on a matrix algebra over an algebraically closed field are good. We can count the number of good gradings by a cyclic group. Using descent theory, we classify non-good gradings on a matrix algebra that become good after a base extension.
Cite
@article{arxiv.math/0107148,
title = {On gradings of matrix algebras and descent theory},
author = {S. Caenepeel and S. Dăscălescu and C. Năstăsescu},
journal= {arXiv preprint arXiv:math/0107148},
year = {2007}
}
Comments
13 pages