On the structure of axial algebras

Sanhan Khasraw; Justin McInroy; Sergey Shpectorov

doi:10.1090/tran/7979

On the structure of axial algebras

Sanhan Khasraw, Justin McInroy, Sergey Shpectorov

Mathematics

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

6 Citations (Scopus)

262 Downloads (Pure)

Abstract

Axial algebras are a recently introduced class of non-associative algebra motivated by applications to groups and vertex-operator algebras. We develop the structure theory of axial algebras focussing on two major topics: (1) radical and simplicity; and (2) sum decompositions.

Original language	English
Pages (from-to)	2135-2156
Journal	Transactions of the American Mathematical Society
Volume	373
Issue number	3
Early online date	2 Dec 2019
DOIs	https://doi.org/10.1090/tran/7979
Publication status	E-pub ahead of print - 2 Dec 2019

Keywords

math.RA
math.GR
17A60, 17A99, 20B25

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10.1090/tran/7979Licence: None: All rights reserved

Khasraw_et_al_On_the_structure_of_axial_algebras_Transactions_of_the_American_Mathematical_Society_2019
First published in Transactions of the American Mathematical Society, 373(3), Dec. 2019, published by the American Mathematical Society. © 2019 American Mathematical Society.
Accepted author manuscript, 344 KBLicence: None: All rights reserved

https://www.ams.org/journals/tran/0000-000-00/S0002-9947-2019-07979-5/Licence: None: All rights reserved

Cite this

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On the structure of axial algebras

Abstract

Keywords

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