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Akivis superalgebras and speciality

Bibliographic Details
Main Author: Albuquerque, Helena
Publication Date: 2008
Other Authors: Santana, Ana Paula
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/11270
Summary: In this paper we define Akivis superalgebra and study enveloping superalgebras for this class of algebras, proving an analogous of the PBW Theorem. Lie and Malcev superalgebras are examples of Akivis superalgebras. For these particular superalgebras, we describe the connection between the classical enveloping superalgebras and the corresponding generalized concept defined in this work.
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spelling Akivis superalgebras and specialityLie superalgebrasMalcev superalgebrasEnveloping superalgebrasIn this paper we define Akivis superalgebra and study enveloping superalgebras for this class of algebras, proving an analogous of the PBW Theorem. Lie and Malcev superalgebras are examples of Akivis superalgebras. For these particular superalgebras, we describe the connection between the classical enveloping superalgebras and the corresponding generalized concept defined in this work.CMUC/FCTCentro de Matemática da Universidade de Coimbra2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/11270https://hdl.handle.net/10316/11270engPré-Publicações DMUC. 08-06 (2008)Albuquerque, HelenaSantana, Ana Paulainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2019-10-01T13:43:32Zoai:estudogeral.uc.pt:10316/11270Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:19.974157Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Akivis superalgebras and speciality
title Akivis superalgebras and speciality
spellingShingle Akivis superalgebras and speciality
Albuquerque, Helena
Lie superalgebras
Malcev superalgebras
Enveloping superalgebras
title_short Akivis superalgebras and speciality
title_full Akivis superalgebras and speciality
title_fullStr Akivis superalgebras and speciality
title_full_unstemmed Akivis superalgebras and speciality
title_sort Akivis superalgebras and speciality
author Albuquerque, Helena
author_facet Albuquerque, Helena
Santana, Ana Paula
author_role author
author2 Santana, Ana Paula
author2_role author
dc.contributor.author.fl_str_mv Albuquerque, Helena
Santana, Ana Paula
dc.subject.por.fl_str_mv Lie superalgebras
Malcev superalgebras
Enveloping superalgebras
topic Lie superalgebras
Malcev superalgebras
Enveloping superalgebras
description In this paper we define Akivis superalgebra and study enveloping superalgebras for this class of algebras, proving an analogous of the PBW Theorem. Lie and Malcev superalgebras are examples of Akivis superalgebras. For these particular superalgebras, we describe the connection between the classical enveloping superalgebras and the corresponding generalized concept defined in this work.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/11270
https://hdl.handle.net/10316/11270
url https://hdl.handle.net/10316/11270
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 08-06 (2008)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602338952052736

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