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arXiv · 1908.01430

A note on generic Clifford algebras of binary cubic forms

Linhong Wang·Xingting Wang
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Abstract

We study the representation theoretic results of the binary cubic generic Clifford algebra $\mathcal C$, which is an Artin-Schelter regular algebra of global dimension five. In particular, we show that $\mathcal C$ is a PI algebra of PI degree three and compute its point variety and discriminant ideals. As a consequence, we give a necessary and sufficient condition on a binary cubic form $f$ for the associated Clifford algebra $\mathcal C_f$ to be an Azumaya algebra.

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Linhong Wang, Xingting Wang. 2019-08-05. A note on generic Clifford algebras of binary cubic forms. https://arxiv.org/abs/1908.01430

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