Classification of division gradings on finite-dimensional simple real algebras
Rings and Algebras
2015-12-23 v2
Abstract
We classify, up to isomorphism and up to equivalence, division gradings (by abelian groups) on finite-dimensional simple real algebras. Gradings on finite-dimensional simple algebras are determined by division gradings, so our results give the classification, up to isomorphism, of (not necessarily division) gradings on such algebras. Linear algebra over the field of two elements plays an interesting role in the proofs.
Keywords
Cite
@article{arxiv.1506.01552,
title = {Classification of division gradings on finite-dimensional simple real algebras},
author = {Adrián Rodrigo-Escudero},
journal= {arXiv preprint arXiv:1506.01552},
year = {2015}
}
Comments
15 pages. This is the accepted manuscript (it includes the referee's suggestions) of the article published in Linear Algebra and its Applications