The algebraic and geometric classification of nilpotent anticommutative algebras

Detalhes bibliográficos
Autor(a) principal: Kaygorodov, Ivan
Data de Publicação: 2020
Outros Autores: Khrypchenko, Mykola, Lopes, Samuel A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/148750
Resumo: The 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.
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spelling The algebraic and geometric classification of nilpotent anticommutative algebrasAlgebraic classificationAnticommutative algebraGeometric classificationNilpotent algebraAlgebra and Number TheoryThe 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.We 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.CMA - Centro de Matemática e AplicaçõesRUNKaygorodov, IvanKhrypchenko, MykolaLopes, Samuel A.2023-02-06T22:16:41Z2020-082020-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/148750eng0022-4049PURE: 31971404https://doi.org/10.1016/j.jpaa.2020.106337info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:30:24Zoai:run.unl.pt:10362/148750Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:53:28.256082Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The algebraic and geometric classification of nilpotent anticommutative algebras
title The algebraic and geometric classification of nilpotent anticommutative algebras
spellingShingle The algebraic and geometric classification of nilpotent anticommutative algebras
Kaygorodov, Ivan
Algebraic classification
Anticommutative algebra
Geometric classification
Nilpotent algebra
Algebra and Number Theory
title_short The algebraic and geometric classification of nilpotent anticommutative algebras
title_full The algebraic and geometric classification of nilpotent anticommutative algebras
title_fullStr The algebraic and geometric classification of nilpotent anticommutative algebras
title_full_unstemmed The algebraic and geometric classification of nilpotent anticommutative algebras
title_sort The algebraic and geometric classification of nilpotent anticommutative algebras
author Kaygorodov, Ivan
author_facet Kaygorodov, Ivan
Khrypchenko, Mykola
Lopes, Samuel A.
author_role author
author2 Khrypchenko, Mykola
Lopes, Samuel A.
author2_role author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Kaygorodov, Ivan
Khrypchenko, Mykola
Lopes, Samuel A.
dc.subject.por.fl_str_mv Algebraic classification
Anticommutative algebra
Geometric classification
Nilpotent algebra
Algebra and Number Theory
topic Algebraic classification
Anticommutative algebra
Geometric classification
Nilpotent algebra
Algebra and Number Theory
description The 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.
publishDate 2020
dc.date.none.fl_str_mv 2020-08
2020-08-01T00:00:00Z
2023-02-06T22:16:41Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/148750
url http://hdl.handle.net/10362/148750
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-4049
PURE: 31971404
https://doi.org/10.1016/j.jpaa.2020.106337
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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