Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem

ABSTRACT: An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras A with solvable radical N,N2= 0, and such that A/N∼=Jospn|2m(F), where F is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irredu...

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Autores:
Gómez González, Faber Alberto
Velásquez Ossa, Raúl Eduardo
Tipo de recurso:
Article of investigation
Fecha de publicación:
2018
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/22161
Acceso en línea:
http://hdl.handle.net/10495/22161
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/336/
Palabra clave:
Jordan superalgebras
Wedderburn theorem
Superálgebra
Analogía del teorema
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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dc.title.spa.fl_str_mv Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
title Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
spellingShingle Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
Jordan superalgebras
Wedderburn theorem
Superálgebra
Analogía del teorema
title_short Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
title_full Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
title_fullStr Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
title_full_unstemmed Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
title_sort Orthosymplectic Jordan superalgebrasand the Wedderburn principal theorem
dc.creator.fl_str_mv Gómez González, Faber Alberto
Velásquez Ossa, Raúl Eduardo
dc.contributor.author.none.fl_str_mv Gómez González, Faber Alberto
Velásquez Ossa, Raúl Eduardo
dc.contributor.researchgroup.spa.fl_str_mv Álgebra U de A
dc.subject.proposal.spa.fl_str_mv Jordan superalgebras
Wedderburn theorem
Superálgebra
Analogía del teorema
topic Jordan superalgebras
Wedderburn theorem
Superálgebra
Analogía del teorema
description ABSTRACT: An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras A with solvable radical N,N2= 0, and such that A/N∼=Jospn|2m(F), where F is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irreducible Jospn|2m (F)-bimodules contained in N, and show with counter-examples that these restrictions cannot be weakened.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2021-09-04T00:12:14Z
dc.date.available.none.fl_str_mv 2021-09-04T00:12:14Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.issn.none.fl_str_mv 1726-3255
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url http://hdl.handle.net/10495/22161
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/336/
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Algebra Discret. Math.
dc.relation.citationendpage.spa.fl_str_mv 33
dc.relation.citationissue.spa.fl_str_mv 1
dc.relation.citationstartpage.spa.fl_str_mv 19
dc.relation.citationvolume.spa.fl_str_mv 26
dc.relation.ispartofjournal.spa.fl_str_mv Algebra and Discrete Mathematics
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dc.publisher.spa.fl_str_mv Lugansk Lugansk National Taras Shevchenko University
dc.publisher.place.spa.fl_str_mv Luhansk, Ucrania
institution Universidad de Antioquia
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spelling Gómez González, Faber AlbertoVelásquez Ossa, Raúl EduardoÁlgebra U de A2021-09-04T00:12:14Z2021-09-04T00:12:14Z20181726-3255http://hdl.handle.net/10495/221612415-721Xhttp://admjournal.luguniv.edu.ua/index.php/adm/article/view/336/ABSTRACT: An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras A with solvable radical N,N2= 0, and such that A/N∼=Jospn|2m(F), where F is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irreducible Jospn|2m (F)-bimodules contained in N, and show with counter-examples that these restrictions cannot be weakened.COL008689615application/pdfengLugansk Lugansk National Taras Shevchenko UniversityLuhansk, Ucraniahttp://creativecommons.org/licenses/by-nc-sa/2.5/co/https://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Orthosymplectic Jordan superalgebrasand the Wedderburn principal theoremArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionJordan superalgebrasWedderburn theoremSuperálgebraAnalogía del teoremaAlgebra Discret. 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