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arXiv · 1705.03492

On primitive axial algebras of Jordan type

Jonathan I. Hall·Yoav Segev·Sergey Shpectorov
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Abstract

In this note we give an overview of our knowledge regarding primitive axial algebras of Jordan type half and connections between $3$-transposition groups and Matsuo algebras. We also show that primitive axial algebras of Jordan type $\eta$ admit a Frobenius form, for any $\eta$.

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Jonathan I. Hall, Yoav Segev, Sergey Shpectorov. 2017-05-09. On primitive axial algebras of Jordan type. https://arxiv.org/abs/1705.03492

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