Continuous evolution algebras
| 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 | 2023-06-30T11:21:32Z | |
| dc.date.available | 2023-06-30T11:21:32Z | |
| dc.date.issued | 2023 | |
| dc.date.updated | 2023-06-30T11:08:02Z | |
| dc.description.abstract | We formulate the notion of continuous evolution algebra in terms of differentiable matrix-valued functions, to then study those such algebras arising as solutions of ODE problems. Given their dependence on natural bases, matrix Lie groups provide a suitable framework where considering time-variant evolution algebras. We conclude by broadening our approach by considering continuous evolution algebras stemming as flow lines on matrix Lie groups. | en |
| dc.description.sponsorship | Supported by grants MTM2017-83506-C2-1-P (AEI/FEDER, UE) and PID2021-123461NB-C21, funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe. The first author is also supported by Diputación General de Aragón (Grupo de Investigación Álgebra y Geometría) | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Montaner, F., Paniello, I. (2023) Continuous evolution algebras. Filomat, 37(4), 1111-1121. https://doi.org/10.2298/FIL2304111M. | en |
| dc.identifier.doi | 10.2298/FIL2304111M | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/45671 | |
| dc.language.iso | eng | en |
| dc.publisher | Universitet of Nis | en |
| dc.relation.ispartof | Filomat, 37(4), 1111-1121 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-123461NB-C21/ | |
| dc.relation.publisherversion | https://doi.org/10.2298/FIL2304111M | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Continuous evolution algebra | en |
| dc.subject | Flow | en |
| dc.subject | Matrix Lie group | en |
| dc.subject | Vector field | en |
| dc.title | Continuous evolution algebras | 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 |