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arXiv · 2308.14589

Kummer-Witt-Jackson algebras

Daniel Larsson
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Abstract

This paper is concerned with the construction of a small, but non-trivial, example of a polynomial identity algebra, which we call the \emph{Jackson algebra}, that will be used in sequels to this paper to study non-commutative arithmetic geometry. In this paper this algebra is studied from a ring-theoretic and geometric viewpoint. Among other things it turns out that this algebra is a "non-commutative family" of central simple algebras and thus parametrises Brauer classes over extensions of the base.

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Daniel Larsson. 2023-08-28. Kummer-Witt-Jackson algebras. https://arxiv.org/abs/2308.14589

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