Article
A combinatorial overview of the Hopf algebra of MacMahon symmetric functions
Author/s | Rosas Celis, Mercedes Helena
Rota, Gian-Carlo Stein, Joel |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2002-11 |
Deposit Date | 2016-10-04 |
Published in |
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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. In this article, we give a combinatorial overview of the Hopf 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. In this article, we give a combinatorial overview of the Hopf algebra structure of the MacMahon symmetric functions relying on the construction of a Hopf algebra from any alphabet of neutral letters obtained in [18 G.-C. Rota and J. Stein, Plethystic Hopf algebras, Proc. Natl. Acad. Sci. USA 91 (1994) 13057–13061. 19. G.-C. Rota and J. Stein, Plethystic algebras and vector symmetric functions, Proc. Natl. Acad. Sci. USA 91 (1994) 13062–13066]. |
Citation | Rosas Celis, M.H., Rota, G. y Stein, J. (2002). A combinatorial overview of the Hopf algebra of MacMahon symmetric functions. Annals of Combinatorics, 6 (2), 195-207. |
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