Article
Specializations of MacMahon symmetric functions and the polynomial algebra
Author/s | Rosas Celis, Mercedes Helena
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Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2002-03-06 |
Deposit Date | 2016-05-30 |
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Abstract | 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 ... 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. |
Citation | Rosas Celis, M.H. (2002). Specializations of MacMahon symmetric functions and the polynomial algebra. Discrete mathematics, 246 (1-3), 285-293. |
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