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 |
| Sumario: | 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. |
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