Jordan 3-graded Lie algebras with polynomial identities
| dc.contributor.author | Montaner, Fernando | |
| dc.contributor.author | Paniello Alastruey, Irene | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.date.accessioned | 2024-04-16T18:44:54Z | |
| dc.date.available | 2024-04-16T18:44:54Z | |
| dc.date.issued | 2024 | |
| dc.date.updated | 2024-04-16T18:34:58Z | |
| dc.description.abstract | We study Jordan 3-graded Lie algebras satisfying 3-graded polynomial identities. Taking advantage of the Tits-Kantor-Koecher construction, we interpret the PI-condition in terms of their associated Jordan pairs, which allows us to formulate an analogue of Posner-Rowen Theorem for strongly prime PI Jordan 3-graded Lie algebras. Arbitrary PI Jordan 3-graded Lie algebras are also described by introducing the Kostrikin radical of the Lie algebras. | en |
| dc.description.sponsorship | Authors are partially supported by grant PID2021-123461NB-C21, funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe” and grant E22-23 Álgebra y Geometría, Gobierno de Aragón. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Montaner, F., Paniello, I. (2024) Jordan 3-graded Lie algebras with polynomial identities. Journal of Pure and Applied Algebra, 228(4), 1-18. https://doi.org/10.1016/j.jpaa.2023.107543. | en |
| dc.identifier.doi | 10.1016/j.jpaa.2023.107543 | |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/47987 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Journal of Pure and Applied Algebra 228(4), 2024, 107543 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-123461NB-C21/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1016/j.jpaa.2023.107543 | |
| dc.rights | © 2024 The Authors. This is an open access article under the CC BY-NC license. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.subject | Central closure | en |
| dc.subject | Jordan Lie algebra | en |
| dc.subject | Polynomial identity | en |
| dc.subject | TKK-construction | en |
| dc.title | Jordan 3-graded Lie algebras with polynomial identities | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | a780e5df-167b-4379-8bff-ac090e5f5554 | |
| relation.isAuthorOfPublication.latestForDiscovery | a780e5df-167b-4379-8bff-ac090e5f5554 |