Primitive axial algebras are of Jordan type
Rings and Algebras
2021-12-02 v3 Group Theory
Abstract
The notion of axial algebra is closely related to -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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Cite
@article{arxiv.2111.14164,
title = {Primitive axial algebras are of Jordan type},
author = {Louis Rowen and Yoav Segev},
journal= {arXiv preprint arXiv:2111.14164},
year = {2021}
}
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12 pages