Specializations of MacMahon symmetric functions and the polynomial algebra
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the vector space of MacMahon symmetric functions found by the author to obtain thei...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41678 |
| Acceso en línea: | http://hdl.handle.net/11441/41678 https://doi.org/10.1016/S0012-365X(01)00263-1 |
| Access Level: | acceso abierto |
| Palabra clave: | MacMahon symmetric function vector symmetric function connection coefficient polynomial basis |
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Specializations of MacMahon symmetric functions and the polynomial algebraRosas Celis, Mercedes HelenaMacMahon symmetric functionvector symmetric functionconnection coefficientpolynomial basisA MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the vector space of MacMahon symmetric functions found by the author to obtain their image under the principal specialization: the powers, rising and falling factorials. Then, we compute the connection coefficients of the different polynomial bases in a combinatorial way.ElsevierÁlgebra2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41678https://doi.org/10.1016/S0012-365X(01)00263-1reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete mathematics, 246 (1-3), 285-293.http://dx.doi.org/10.1016/S0012-365X(01)00263-1info:eu-repo/semantics/openAccessoai:idus.us.es:11441/416782026-06-17T12:51:07Z |
| dc.title.none.fl_str_mv |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| title |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| spellingShingle |
Specializations of MacMahon symmetric functions and the polynomial algebra Rosas Celis, Mercedes Helena MacMahon symmetric function vector symmetric function connection coefficient polynomial basis |
| title_short |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| title_full |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| title_fullStr |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| title_full_unstemmed |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| title_sort |
Specializations of MacMahon symmetric functions and the polynomial algebra |
| dc.creator.none.fl_str_mv |
Rosas Celis, Mercedes Helena |
| author |
Rosas Celis, Mercedes Helena |
| author_facet |
Rosas Celis, Mercedes Helena |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Álgebra |
| dc.subject.none.fl_str_mv |
MacMahon symmetric function vector symmetric function connection coefficient polynomial basis |
| topic |
MacMahon symmetric function vector symmetric function connection coefficient polynomial basis |
| description |
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. We use a combinatorial construction of the different bases of the vector space of MacMahon symmetric functions found by the author to obtain their image under the principal specialization: the powers, rising and falling factorials. Then, we compute the connection coefficients of the different polynomial bases in a combinatorial way. |
| publishDate |
2002 |
| dc.date.none.fl_str_mv |
2002 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11441/41678 https://doi.org/10.1016/S0012-365X(01)00263-1 |
| url |
http://hdl.handle.net/11441/41678 https://doi.org/10.1016/S0012-365X(01)00263-1 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Discrete mathematics, 246 (1-3), 285-293. http://dx.doi.org/10.1016/S0012-365X(01)00263-1 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf application/pdf |
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Elsevier |
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Elsevier |
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reponame:idUS. Depósito de Investigación de la Universidad de Sevilla instname:Universidad de Sevilla (US) |
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Universidad de Sevilla (US) |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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15.301603 |