From forbidden configurations to a classification of some axial algebras of Monster type
dc.contributor.author | McInroy, Justin | |
dc.contributor.author | Shpectorov, Sergey | |
dc.date.accessioned | 2023-03-20T09:09:02Z | |
dc.date.available | 2023-03-20T09:09:02Z | |
dc.date.issued | 2023-03-17 | |
dc.identifier | https://chesterrep.openrepository.com/bitstream/handle/10034/627676/From%20forbidden%20configurations.pdf?sequence=5 | |
dc.identifier.citation | McInroy, 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.2023.03.003 | en_US |
dc.identifier.issn | 0021-8693 | |
dc.identifier.doi | 10.1016/j.jalgebra.2023.03.003 | |
dc.identifier.uri | http://hdl.handle.net/10034/627676 | |
dc.description.abstract | Ivanov 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.publisher | Elsevier | en_US |
dc.relation.url | https://www.sciencedirect.com/science/article/pii/S0021869323000959?via%3Dihub | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
dc.subject | Axial algebra | en_US |
dc.subject | Axet | en_US |
dc.subject | Shape | en_US |
dc.subject | Completion | en_US |
dc.subject | Automorphism | en_US |
dc.subject | Non-associative algebra | en_US |
dc.subject | Monster | en_US |
dc.title | From forbidden configurations to a classification of some axial algebras of Monster type | en_US |
dc.type | Article | en_US |
dc.identifier.eissn | 1090-266X | en_US |
dc.contributor.department | University of Chester; University of Bristol; University of Birmingham | en_US |
dc.identifier.journal | Journal of Algebra | en_US |
or.grant.openaccess | Yes | en_US |
rioxxterms.funder | unfunded | en_US |
rioxxterms.identifier.project | unfunded | en_US |
rioxxterms.version | VoR | en_US |
rioxxterms.versionofrecord | 10.1016/j.jalgebra.2023.03.003 | en_US |
rioxxterms.licenseref.startdate | 2025-03-17 | |
dcterms.dateAccepted | 2023-03-14 | |
rioxxterms.publicationdate | 2023-03-17 | |
dc.date.deposited | 2023-03-20 | en_US |