Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/100188
DC Field | Value | Language |
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dc.contributor.author | Barreiro, Elisabete | - |
dc.contributor.author | Benayadi, Saïd | - |
dc.contributor.author | Navarro, Rosa M. | - |
dc.contributor.author | Sánchez, José M. | - |
dc.date.accessioned | 2022-05-23T16:07:06Z | - |
dc.date.available | 2022-05-23T16:07:06Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 00243795 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/100188 | - |
dc.description.abstract | The aim of this work is to study a very special family of odd-quadratic Lie superalgebras such that is a weak filiform -module (weak filiform type). We introduce this concept after having proved that the unique non-zero odd-quadratic Lie superalgebra with a filiform -module is the abelian 2-dimensional Lie superalgebra such that . Let us note that in this context the role of the center of is crucial. Thus, we obtain an inductive description of odd-quadratic Lie superalgebras of weak filiform type via generalized odd double extensions. Moreover, we obtain the classification, up to isomorphism, for the smallest possible dimensions, that is, six and eight. | pt |
dc.description.sponsorship | The first author was supported by the Centre for Mathematics of the University of Coimbra - UIDB/00324/2020, funded by the Portuguese Government through FCT/MCTES. Third author was supported by Junta de Extremadura and Fondo Europeo de Desarrollo Regional (GR21005 and IB18032) and by Agencia Estatal de Investigación (Spain), grant PID2020-115155GB-I00 (European FEDER support included, UE). Fourth author was supported by the PCI of the UCA ‘Teoría de Lie y Teoría de Espacios de Banach’ and by the PAI with project number FQM298. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt |
dc.subject | Lie superalgebras | pt |
dc.subject | Odd-invariant scalar product | pt |
dc.subject | Double extensions | pt |
dc.subject | Weak filiform | pt |
dc.subject | Nilpotent | pt |
dc.title | Odd-quadratic Lie superalgebras with a weak filiform module as an odd part | pt |
dc.type | article | - |
degois.publication.firstPage | 22 | pt |
degois.publication.lastPage | 46 | pt |
degois.publication.title | Linear Algebra and Its Applications | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.laa.2022.04.013 | pt |
degois.publication.volume | 649 | pt |
dc.date.embargo | 2022-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.project.grantno | Center for Mathematics, University of Coimbra- CMUC | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-1369-3737 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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1-s2.0-S0024379522001641-main.pdf | 462.31 kB | Adobe PDF | View/Open |
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