Symmetric functions in noncommuting variables
Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the variables and of bounded degree. We...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41693 |
| Acceso en línea: | http://hdl.handle.net/11441/41693 https://doi.org/10.1090/S0002-9947-04-03623-2 |
| Access Level: | acceso abierto |
| Palabra clave: | noncommuting variables partition lattice Schur function symmetric function |
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Symmetric functions in noncommuting variablesRosas Celis, Mercedes HelenaSagan, Bruce E.noncommuting variablespartition latticeSchur functionsymmetric functionConsider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the variables and of bounded degree. We develop a theory of such functions analogous to the ordinary theory of symmetric functions. In particular, we define analogs of the monomial, power sum, elementary, complete homogeneous, and Schur symmetric functions as will as investigating their properties.American Mathematical SocietyÁlgebra2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41693https://doi.org/10.1090/S0002-9947-04-03623-2reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésTransactions of the American Mathematical Society, 358 (1), 215-232.http://dx.doi.org/10.1090/S0002-9947-04-03623-2info:eu-repo/semantics/openAccessoai:idus.us.es:11441/416932026-06-17T12:51:07Z |
| dc.title.none.fl_str_mv |
Symmetric functions in noncommuting variables |
| title |
Symmetric functions in noncommuting variables |
| spellingShingle |
Symmetric functions in noncommuting variables Rosas Celis, Mercedes Helena noncommuting variables partition lattice Schur function symmetric function |
| title_short |
Symmetric functions in noncommuting variables |
| title_full |
Symmetric functions in noncommuting variables |
| title_fullStr |
Symmetric functions in noncommuting variables |
| title_full_unstemmed |
Symmetric functions in noncommuting variables |
| title_sort |
Symmetric functions in noncommuting variables |
| dc.creator.none.fl_str_mv |
Rosas Celis, Mercedes Helena Sagan, Bruce E. |
| author |
Rosas Celis, Mercedes Helena |
| author_facet |
Rosas Celis, Mercedes Helena Sagan, Bruce E. |
| author_role |
author |
| author2 |
Sagan, Bruce E. |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Álgebra |
| dc.subject.none.fl_str_mv |
noncommuting variables partition lattice Schur function symmetric function |
| topic |
noncommuting variables partition lattice Schur function symmetric function |
| description |
Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the variables and of bounded degree. We develop a theory of such functions analogous to the ordinary theory of symmetric functions. In particular, we define analogs of the monomial, power sum, elementary, complete homogeneous, and Schur symmetric functions as will as investigating their properties. |
| publishDate |
2006 |
| dc.date.none.fl_str_mv |
2006 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion |
| format |
article |
| status_str |
submittedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11441/41693 https://doi.org/10.1090/S0002-9947-04-03623-2 |
| url |
http://hdl.handle.net/11441/41693 https://doi.org/10.1090/S0002-9947-04-03623-2 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Transactions of the American Mathematical Society, 358 (1), 215-232. http://dx.doi.org/10.1090/S0002-9947-04-03623-2 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
American Mathematical Society |
| publisher.none.fl_str_mv |
American Mathematical Society |
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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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1869404419449159680 |
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15.301603 |