On gradings of matrix algebras and descent theory

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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.
13 pages

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Rings and Algebras, 16W50

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http://salesiana.dossiersoluciones.com/handle/123456789/61877

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107148
 http://arxiv.org/abs/math/0107148

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arXiv