On the calculation of inner products of Schur functions
Autor(a) principal: | |
---|---|
Data de Publicação: | 2010 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332010000200008 |
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. |
id |
SBF-2_7975cf9707089c24d2ee5f78d690dc58 |
---|---|
oai_identifier_str |
oai:scielo:S0103-97332010000200008 |
network_acronym_str |
SBF-2 |
network_name_str |
Brazilian Journal of Physics |
repository_id_str |
|
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.Sociedade Brasileira de Física2010-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332010000200008Brazilian Journal of Physics v.40 n.2 2010reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332010000200008info:eu-repo/semantics/openAccessAlcarás,J.A. CastilhoKota,V.K.B.eng2010-06-23T00:00:00Zoai:scielo:S0103-97332010000200008Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2010-06-23T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)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 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 |
author_facet |
Alcarás,J.A. Castilho Kota,V.K.B. |
author_role |
author |
author2 |
Kota,V.K.B. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Alcarás,J.A. Castilho 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 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332010000200008 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332010000200008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332010000200008 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
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 |
Brazilian Journal of Physics v.40 n.2 2010 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734865284071424 |