dc.creator | Daza García, Alberto | es |
dc.creator | Elduque Palomo, Alberto | es |
dc.creator | Sayin, Umut | es |
dc.date.accessioned | 2024-03-20T08:42:08Z | |
dc.date.available | 2024-03-20T08:42:08Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Daza García, A., Elduque Palomo, A. y Sayin, U. (2024). From octonions to composition superalgebras via tensor categories. Revista Matemática Iberoamericana, 40 (1), 129-152. https://doi.org/10.4171/rmi/1408. | |
dc.identifier.issn | 0213-2230 | es |
dc.identifier.issn | 2235-0616 | es |
dc.identifier.uri | https://hdl.handle.net/11441/156437 | |
dc.description.abstract | The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphisms, by means of the process of semisimplification of the symmetric tensor category of representations of the cyclic group of order 3. Connections with the extended Freudenthal magic square in characteristic 3, that contains some exceptional Lie superalgebras specific of this characteristic are discussed too. In the process, precise recipes to go from (nonassociative) algebras in this tensor category to the corresponding superalgebras are given. | es |
dc.format | application/pdf | es |
dc.format.extent | 24 p. | es |
dc.language.iso | eng | es |
dc.publisher | European Mathematical Society | es |
dc.relation.ispartof | Revista Matemática Iberoamericana, 40 (1), 129-152. | |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Octonions | es |
dc.subject | Composition superalgebras | es |
dc.subject | Tensor categories | es |
dc.title | From octonions to composition superalgebras via tensor categories | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2017-83506-C2-1-P | es |
dc.relation.projectID | PID2021-123461NB-C21 | es |
dc.relation.projectID | MCIN/AEI/10.13039/ 501100011033 | es |
dc.relation.projectID | E22_20R | es |
dc.relation.projectID | PRE2018-087018 | es |
dc.relation.publisherversion | https://ems.press/content/serial-article-files/40234 | es |
dc.identifier.doi | 10.4171/rmi/1408 | es |
dc.journaltitle | Revista Matemática Iberoamericana | es |
dc.publication.volumen | 40 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 129 | es |
dc.publication.endPage | 152 | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Gobierno de Aragón | es |