Primitive axial algebras are of Jordan type

Louis Rowen; Yoav Segev

doi:10.1016/j.jpaa.2022.107206

Primitive axial algebras are of Jordan type

Louis Rowen
, Yoav Segev

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 complete 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.

Original language	English
Article number	107206
Journal	Journal of Pure and Applied Algebra
Volume	227
Issue number	3
DOIs	https://doi.org/10.1016/j.jpaa.2022.107206
State	Published - Mar 2023

Bibliographical note

Publisher Copyright:
© 2022 Elsevier B.V.

Funding

The first author was supported by the Israel Science Foundation grant 1623/16.

Funders	Funder number
Israel Science Foundation	1623/16

Keywords

Axial algebra
Axis
Fusion
Idempotent

Access to Document

10.1016/j.jpaa.2022.107206

Cite this

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KW - Fusion

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Primitive axial algebras are of Jordan type

Abstract

Bibliographical note

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Keywords

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