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The algebraic and geometric classification of nilpotent anticommutative algebras

2020-08Artigo científico Acesso aberto
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dc.contributor.authorKaygorodov, Ivan
dc.contributor.authorKhrypchenko, Mykola
dc.contributor.authorLopes, Samuel A.
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblElsevier Science B.V., Amsterdam.
dc.date.accessioned2023-02-06T22:16:41Z
dc.date.available2023-02-06T22:16:41Z
dc.date.issued2020-08
dc.descriptionThe first part of this work is supported by the Russian Science Foundation under grant 18-71-10007 . The second part of this work was supported by CNPq 404649/2018-1 ; FAPESP 18/09299-2 , 18/15712-0.
dc.description.abstractWe give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism classes. The corresponding geometric variety is irreducible and determined by the Zariski closure of a one-parameter family of algebras. In particular, there are no rigid 6-dimensional complex nilpotent anticommutative algebras.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent398623
dc.identifier.doi10.1016/j.jpaa.2020.106337
dc.identifier.issn0022-4049
dc.identifier.otherPURE: 31971404
dc.identifier.otherPURE UUID: 418b3dc6-30d9-44c0-b07c-b982f84aa4ff
dc.identifier.otherScopus: 85079430473
dc.identifier.otherWOS: 000521510500008
dc.identifier.urihttp://hdl.handle.net/10362/148750
dc.identifier.urlhttps://www.scopus.com/pages/publications/85079430473
dc.language.isoeng
dc.peerreviewedyes
dc.relationFunding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00144%2F2019/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F31174%2F2017/PT
dc.subjectAlgebraic classification
dc.subjectAnticommutative algebra
dc.subjectGeometric classification
dc.subjectNilpotent algebra
dc.subjectAlgebra and Number Theory
dc.titleThe algebraic and geometric classification of nilpotent anticommutative algebrasen
dc.typejournal article
degois.publication.issue8
degois.publication.titleJournal Of Pure And Applied Algebra
degois.publication.volume224
dspace.entity.typePublication
oaire.awardNumberPTDC/MAT-PUR/31174/2017
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F31174%2F2017/PT
oaire.fundingStream3599-PPCDT
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublication69901b15-cbea-487a-9a66-96229daf865d
relation.isProjectOfPublication.latestForDiscovery69901b15-cbea-487a-9a66-96229daf865d

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