THE CANONICAL QUADRATIC PAIR ON A CLIFFORD ALGEBRA AND TRIALITY
Résumé
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.
Domaines
Anneaux et algèbres [math.RA]| Origine | Fichiers produits par l'(les) auteur(s) |
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