On primitive axial algebras of Jordan type

Published 9 May 2017 in math.GR | (1705.03492v1)

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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