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- Title
Albert algebras over Z and other rings.
- Authors
Garibaldi, Skip; Petersson, Holger P.; Racine, Michel L.
- Abstract
Albert algebras, a specific kind of Jordan algebra, are naturally distinguished objects among commutative non-associative algebras and also arise naturally in the context of simple affine group schemes of type F4, E6, or E7. We study these objects over an arbitrary base ring R, with particular attention to the case of the integers. We prove in this generality results previously in the literature in the special case where R is a field of characteristic different from 2 and 3.
- Subjects
JORDAN; NONASSOCIATIVE algebras; ALGEBRA; JORDAN algebras; INTEGERS
- Publication
Forum of Mathematics, Sigma, 2023, Vol 11, p1
- ISSN
2050-5094
- Publication type
Article
- DOI
10.1017/fms.2023.7