On identities of a Ternary Quaternion Algebra

Detalhes bibliográficos
Autor(a) principal: Beites, P. D.
Data de Publicação: 2011
Outros Autores: Nicolás, A. P., Pozhidaev, A. P., Saraiva, P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/43983
https://doi.org/10.1080/00927871003601659
Resumo: This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed.
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spelling On identities of a Ternary Quaternion AlgebraComposition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system.This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed.Taylor & Francis2011-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43983http://hdl.handle.net/10316/43983https://doi.org/10.1080/00927871003601659eng0092-7872 print/1532-4125 onlinehttp://www.tandfonline.com/doi/abs/10.1080/00927871003601659?tab=permissions&scroll=topBeites, P. D.Nicolás, A. P.Pozhidaev, A. P.Saraiva, P.info: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:RCAAP2022-05-25T03:07:52Zoai:estudogeral.uc.pt:10316/43983Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:45:45.983133Repositório 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 On identities of a Ternary Quaternion Algebra
title On identities of a Ternary Quaternion Algebra
spellingShingle On identities of a Ternary Quaternion Algebra
Beites, P. D.
Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system.
title_short On identities of a Ternary Quaternion Algebra
title_full On identities of a Ternary Quaternion Algebra
title_fullStr On identities of a Ternary Quaternion Algebra
title_full_unstemmed On identities of a Ternary Quaternion Algebra
title_sort On identities of a Ternary Quaternion Algebra
author Beites, P. D.
author_facet Beites, P. D.
Nicolás, A. P.
Pozhidaev, A. P.
Saraiva, P.
author_role author
author2 Nicolás, A. P.
Pozhidaev, A. P.
Saraiva, P.
author2_role author
author
author
dc.contributor.author.fl_str_mv Beites, P. D.
Nicolás, A. P.
Pozhidaev, A. P.
Saraiva, P.
dc.subject.por.fl_str_mv Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system.
topic Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system.
description This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed.
publishDate 2011
dc.date.none.fl_str_mv 2011-03
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/10316/43983
http://hdl.handle.net/10316/43983
https://doi.org/10.1080/00927871003601659
url http://hdl.handle.net/10316/43983
https://doi.org/10.1080/00927871003601659
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0092-7872 print/1532-4125 online
http://www.tandfonline.com/doi/abs/10.1080/00927871003601659?tab=permissions&scroll=top
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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