Jordan algebras over algebraic varieties

2007/08/31 by Susanne Pumpluen, Pumpluen, Susanne
Computer Science · Mathematics · #17C40 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0708.4352

openalex publication_date 2007/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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