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arxiv: 1705.03492 · v1 · pith:FCUU6U42new · submitted 2017-05-09 · 🧮 math.GR

On primitive axial algebras of Jordan type

classification 🧮 math.GR
keywords algebrasaxialjordanprimitivetypeadmitconnectionsform
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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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