Axial algebras of Jordan and Monster type

McInroy, Justin; Shpectorov, Sergey

dc.contributor.author	McInroy, Justin
dc.contributor.author	Shpectorov, Sergey
dc.date.accessioned	2024-04-10T14:56:06Z
dc.date.available	2024-04-10T14:56:06Z
dc.date.issued	2024-12-12
dc.identifier	https://chesterrep.openrepository.com/bitstream/handle/10034/628593/axial_survey.pdf?sequence=1
dc.identifier.citation	McInroy, J., & Shpectorov, S. (2024). Axial algebras of Jordan and Monster type. In [C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, & D. I. Stewart (Eds.), Groups St Andrews 2022 in Newcastle (pp. 246-294). Cambridge University Press.	en_US
dc.identifier.isbn	9781009563222
dc.identifier.uri	http://hdl.handle.net/10034/628593
dc.description	This material has been accepted for publication by Cambridge University Press, and a revised form will be published in [Groups St Andrews 2022 in Newcastle] edited by [C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, D. I. Stewart]. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © Cambridge University Press & Assessment 2025.	en_US
dc.description.abstract	Axial algebras are a class of non-associative commutative algebras whose properties are defined in terms of a fusion law. When this fusion law is graded, the algebra has a naturally associated group of automorphisms and thus axial algebras are inherently related to group theory. Examples include most Jordan algebras and the Griess algebra for the Monster sporadic simple group. In this survey, we introduce axial algebras, discuss their structural properties and then concentrate on two specific classes: algebras of Jordan and Monster type, which are rich in examples related to simple groups.	en_US
dc.publisher	Cambridge University Press	en_US
dc.relation.ispartofseries	London Mathematical Society Lecture Note Series
dc.relation.url	https://www.cambridge.org/gb/universitypress/subjects/mathematics/algebra/groups-st-andrews-2022-newcastle?format=PB	en_US
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/	en_US
dc.subject	Axial algebras	en_US
dc.subject	Jordan algebras	en_US
dc.title	Axial algebras of Jordan and Monster type	en_US
dc.type	Conference Contribution	en_US
dc.contributor.department	University of Chester; University of Birmingham	en_US
dc.title.book	Groups St Andrews 2022 in Newcastle
dc.date.accepted	2024-03-28
rioxxterms.identifier.project	unfunded	en_US
rioxxterms.version	AM	en_US
rioxxterms.licenseref.startdate	2025-06-12
dc.source.beginpage	246-294
dc.date.deposited	2024-04-10	en_US