On the calculation of inner products of Schur functions

Detalhes bibliográficos
Autor(a) principal: Alcarás, J.A. Castilho [UNESP]
Data de Publicação: 2010
Outros Autores: Kota, V.K.B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S0103-97332010000200008
http://hdl.handle.net/11449/24005
Resumo: Two methods for calculating inner products of Schur functions in terms of outer products and plethysms are given and they are easy to implement on a machine. One of these is derived from a recent analysis of the SO(8) proton-neutron pairing model of atomic nuclei. The two methods allow for generation of inner products for the Schur functions of degree up to 20 and even beyond.
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spelling On the calculation of inner products of Schur functionsGroup theoryGroup Representation theorySymmetric groupTwo methods for calculating inner products of Schur functions in terms of outer products and plethysms are given and they are easy to implement on a machine. One of these is derived from a recent analysis of the SO(8) proton-neutron pairing model of atomic nuclei. The two methods allow for generation of inner products for the Schur functions of degree up to 20 and even beyond.Universidade Estadual Paulista Instituto de Física TeóricaPhysical Research LaboratoryUniversidade Estadual Paulista Instituto de Física TeóricaSociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Physical Research LaboratoryAlcarás, J.A. Castilho [UNESP]Kota, V.K.B.2014-05-20T14:08:29Z2014-05-20T14:08:29Z2010-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article172-179application/pdfhttp://dx.doi.org/10.1590/S0103-97332010000200008Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 40, n. 2, p. 172-179, 2010.0103-9733http://hdl.handle.net/11449/2400510.1590/S0103-97332010000200008S0103-97332010000200008WOS:000280286400008S0103-97332010000200008.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2024-01-18T06:31:54Zoai:repositorio.unesp.br:11449/24005Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:22:23.776146Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the calculation of inner products of Schur functions
title On the calculation of inner products of Schur functions
spellingShingle On the calculation of inner products of Schur functions
Alcarás, J.A. Castilho [UNESP]
Group theory
Group Representation theory
Symmetric group
title_short On the calculation of inner products of Schur functions
title_full On the calculation of inner products of Schur functions
title_fullStr On the calculation of inner products of Schur functions
title_full_unstemmed On the calculation of inner products of Schur functions
title_sort On the calculation of inner products of Schur functions
author Alcarás, J.A. Castilho [UNESP]
author_facet Alcarás, J.A. Castilho [UNESP]
Kota, V.K.B.
author_role author
author2 Kota, V.K.B.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Physical Research Laboratory
dc.contributor.author.fl_str_mv Alcarás, J.A. Castilho [UNESP]
Kota, V.K.B.
dc.subject.por.fl_str_mv Group theory
Group Representation theory
Symmetric group
topic Group theory
Group Representation theory
Symmetric group
description Two methods for calculating inner products of Schur functions in terms of outer products and plethysms are given and they are easy to implement on a machine. One of these is derived from a recent analysis of the SO(8) proton-neutron pairing model of atomic nuclei. The two methods allow for generation of inner products for the Schur functions of degree up to 20 and even beyond.
publishDate 2010
dc.date.none.fl_str_mv 2010-06-01
2014-05-20T14:08:29Z
2014-05-20T14:08:29Z
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://dx.doi.org/10.1590/S0103-97332010000200008
Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 40, n. 2, p. 172-179, 2010.
0103-9733
http://hdl.handle.net/11449/24005
10.1590/S0103-97332010000200008
S0103-97332010000200008
WOS:000280286400008
S0103-97332010000200008.pdf
url http://dx.doi.org/10.1590/S0103-97332010000200008
http://hdl.handle.net/11449/24005
identifier_str_mv Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 40, n. 2, p. 172-179, 2010.
0103-9733
10.1590/S0103-97332010000200008
S0103-97332010000200008
WOS:000280286400008
S0103-97332010000200008.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brazilian Journal of Physics
1.082
0,276
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 172-179
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129512739700736

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