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arXiv · 2401.01660

Non-associative Frobenius algebras of type $E_7$

Jari Desmet
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Abstract

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 groups of type $G_2,F_4$ and certain forms of $E_6$ in terms of octonion and Albert algebras. In this paper, we extend this further by dealing with $E_7$ in terms of generalised Freudenthal triple systems.

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Jari Desmet. 2024-01-03. Non-associative Frobenius algebras of type $E_7$. https://arxiv.org/abs/2401.01660

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