The canonical quadratic pair on a Clifford algebra and triality
Rings and Algebras
2019-05-30 v1
Abstract
We define a canonical quadratic pair on the Clifford algebra of an algebra with quadratic pair over a field. This allows us to extend to the characteristic 2 case the notion of trialitarian triples, from which we derive a characterization of totally decomposable quadratic pairs in degree 8. We also describe trialitarian triples involving algebras of small Schur index.
Cite
@article{arxiv.1905.12526,
title = {The canonical quadratic pair on a Clifford algebra and triality},
author = {Andrew Dolphin and Anne Quéguiner-Mathieu},
journal= {arXiv preprint arXiv:1905.12526},
year = {2019}
}