The algebraic and geometric classification of nilpotent anticommutative algebras
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799138125229850624 |