Jari Desmet

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20222026

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math.RA2024

Solid lines in axial algebras of Jordan type $\frac{1}{2}$ and Jordan algebras

Jari Desmet

We show that a primitive axial algebra of Jordan type $η = \frac{1}{2}$ is a Jordan algebra if and only if every $2$ -generated subalgebra is \emph{solid}, a notion introduced recen…

math.RA2024

Non-associative Frobenius algebras of type $E_{7}$

Jari Desmet

Recently, Maurice Chayet and Skip Garibaldi introduced a class of commutative non-associative algebras. In previous work, we gave an explicit description of these algebras for grou…

Solid lines in axial algebras of Jordan type 21​ and Jordan algebras

Non-associative Frobenius algebras of type E7​

Solid lines in axial algebras of Jordan type $\frac{1}{2}$ and Jordan algebras

Non-associative Frobenius algebras of type $E_{7}$