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arXiv · 2111.14164

Primitive axial algebras are of Jordan type

Louis Rowen·Yoav Segev
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Abstract

The notion of axial algebra is closely related to $3$-transposition groups, the Monster group and vertex operator algebras. In this work we continue our previous works and compete the proof that all algebras generated by a set of primitive axes not necessarily of the same type (see the definition in the body of the paper), are primitive axial algebras of Jordan type.

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Louis Rowen, Yoav Segev. 2021-11-28. Primitive axial algebras are of Jordan type. https://arxiv.org/abs/2111.14164

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