English

Jordan algebras over algebraic varieties

Rings and Algebras 2007-09-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0708.4352,
  title  = {Jordan algebras over algebraic varieties},
  author = {Susanne Pumpluen},
  journal= {arXiv preprint arXiv:0708.4352},
  year   = {2007}
}

Comments

32 pages

R2 v1 2026-06-21T09:12:44.362Z