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
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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oai_identifier_str oai:bibliotecadigital.udea.edu.co:10495/22161
network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
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
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.subject.proposal.spa.fl_str_mv Jordan superalgebras
Wedderburn theorem
topic Jordan superalgebras
Wedderburn theorem
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 info:eu-repo/semantics/article
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dc.type.local.spa.fl_str_mv Artículo de investigación
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status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 1726-3255
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10495/22161
dc.identifier.eissn.none.fl_str_mv 2415-721X
dc.identifier.url.spa.fl_str_mv http://admjournal.luguniv.edu.ua/index.php/adm/article/view/336/
identifier_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.rights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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dc.format.extent.spa.fl_str_mv 15
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Lugansk Lugansk National Taras Shevchenko University
dc.publisher.group.spa.fl_str_mv Álgebra U de A
dc.publisher.place.spa.fl_str_mv Luhansk, Ucrania
institution Universidad de Antioquia
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spelling Gómez González, Faber AlbertoVelásquez Ossa, Raúl Eduardo2021-09-04T00:12:14Z2021-09-04T00:12:14Z20181726-3255http://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 UniversityÁlgebra U de ALuhansk, Ucraniainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Orthosymplectic Jordan superalgebrasand the Wedderburn principal theoremJordan superalgebrasWedderburn theoremAlgebra Discret. Math.Algebra and Discrete Mathematics1933261CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051http://bibliotecadigital.udea.edu.co/bitstream/10495/22161/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/22161/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53ORIGINALGómezFaber_2018_OrthosymplecticWedderburnTheorem.pdfGómezFaber_2018_OrthosymplecticWedderburnTheorem.pdfArtículo de investigaciónapplication/pdf398675http://bibliotecadigital.udea.edu.co/bitstream/10495/22161/1/G%c3%b3mezFaber_2018_OrthosymplecticWedderburnTheorem.pdf16a2b5605a93fcb39f441373d9b4e908MD5110495/22161oai:bibliotecadigital.udea.edu.co:10495/221612021-09-03 19:12:15.424Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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