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dc.contributor.authorMcInroy, Justin
dc.contributor.authorShpectorov, Sergey
dc.date.accessioned2023-03-20T09:09:02Z
dc.date.available2023-03-20T09:09:02Z
dc.date.issued2023-03-17
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/627676/From%20forbidden%20configurations.pdf?sequence=5
dc.identifier.citationMcInroy, J., & Shpectorov, S. (2023). From forbidden configurations to a classification of some axial algebras of Monster type. Journal of Algebra, 627, 58-105. https://doi.org/10.1016/j.jalgebra.2023.03.003en_US
dc.identifier.issn0021-8693
dc.identifier.doi10.1016/j.jalgebra.2023.03.003
dc.identifier.urihttp://hdl.handle.net/10034/627676
dc.description.abstractIvanov introduced the shape of a Majorana algebra as a record of the 2-generated subalgebras arising in that algebra. As a broad generalisation of this concept and to free it from the ambient algebra, we introduce the concept of an axet and shapes on an axet. A shape can be viewed as an algebra version of a group amalgam. Just like an amalgam, a shape leads to a unique algebra completion which may be non-trivial or it may collapse. Then for a natural family of shapes of generalised Monster type we classify all completion algebras and discover that a great majority of them collapse, confirming the observations made in an earlier paper [12].en_US
dc.publisherElsevieren_US
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0021869323000959?via%3Dihuben_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.subjectAxial algebraen_US
dc.subjectAxeten_US
dc.subjectShapeen_US
dc.subjectCompletionen_US
dc.subjectAutomorphismen_US
dc.subjectNon-associative algebraen_US
dc.subjectMonsteren_US
dc.titleFrom forbidden configurations to a classification of some axial algebras of Monster typeen_US
dc.typeArticleen_US
dc.identifier.eissn1090-266Xen_US
dc.contributor.departmentUniversity of Chester; University of Bristol; University of Birminghamen_US
dc.identifier.journalJournal of Algebraen_US
or.grant.openaccessYesen_US
rioxxterms.funderunfundeden_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionVoRen_US
rioxxterms.versionofrecord10.1016/j.jalgebra.2023.03.003en_US
rioxxterms.licenseref.startdate2025-03-17
dcterms.dateAccepted2023-03-14
rioxxterms.publicationdate2023-03-17
dc.date.deposited2023-03-20en_US


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