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

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

2 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 - 1 Mar 2023

Keywords

Axial algebra
Axis
Fusion
Idempotent

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2022.107206

Cite this

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title = "Primitive axial algebras are of Jordan type",

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.",

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AB - 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.

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KW - Fusion

KW - Idempotent

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DO - 10.1016/j.jpaa.2022.107206

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Primitive axial algebras are of Jordan type

Abstract

Keywords

ASJC Scopus subject areas

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