Albert algebras over curves of genus zero and one
Susanne Pumpluen
TL;DR
This paper explores the construction of Albert algebras and other Jordan algebras over curves of genus zero and one, extending classical methods through a generalized Tits process.
Contribution
It introduces a generalized Tits process for constructing Albert algebras over low-genus curves, expanding the algebraic framework.
Findings
Construction of Albert algebras over genus zero and one curves
Extension of Tits process to new algebraic contexts
New examples of Jordan algebras over algebraic curves
Abstract
Albert algebras and other Jordan algebras are constructed over curves of genus zero and one, using a generalization of the Tits process and the first Tits construction due to Achhammer.
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