Albert algebras over Z and other rings
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
R= Z.
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.
garibaldi-petersson-racine-albZ.pdf
Skip Garibaldi
Holger P. Petersson
Michel L. Racine