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Frobenius forms on weakly primitive axial algebras of Jordan type

Published 21 Sep 2025 in math.RA | (2509.17117v1)

Abstract: In a previous paper we studied ``weakly primitive axial algebras'' with respect to more general fusion rules, for which at least one axis satisfies the fusion rules. In this continuation, a concise description is provided of the $2$-generated algebras we obtained in that paper and we show that in certain cases, the algebras have a Frobenius form, a key tool in their study.

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