Jordan algebras over algebraic varieties

Details Jordan algebras over algebraic varieties Jordan algebras over algebraic varieties

2007-08-31

arxiv.org/abs/0708.4352v1

Mathematics

Rings and Algebras

32 pages

Scientific paper

We construct Jordan algebras over a locally ringed space using
generalizations of the Tits process and the first Tits construction by
Achhammer. Some general results on the structure of these algebras are
obtained. Examples of Albert algebras over a Brauer-Severi variety with
associated central simple algebra of degree 3 are given.

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