Fine gradings on Kantor systems of Hurwitz type
Rings and Algebras
2020-12-21 v3
Abstract
We give a classification up to equivalence of the fine group gradings by abelian groups on the Kantor pairs and triple systems associated to Hurwitz algebras (i.e., unital composition algebras), under the assumption that the base field is algebraically closed of characteristic different from 2. The universal groups and associated Weyl groups are computed. We also determine, in the case of Kantor pairs, the induced (fine) gradings on the associated Lie algebras given by the Kantor construction.
Cite
@article{arxiv.2008.09026,
title = {Fine gradings on Kantor systems of Hurwitz type},
author = {Diego Aranda-Orna and Alejandra S. Córdova-Martínez},
journal= {arXiv preprint arXiv:2008.09026},
year = {2020}
}
Comments
34 pages. To appear in Linear Algebra and its Applications