Group Theory
Explicitation of characters of the symmetric group
[Explicitation des caractères du groupe symétrique]
Comptes Rendus. Mathématique, Tome 341 (2005) no. 9, pp. 529-534.

Nous donnons une formule totalement explicite pour les caractères normés du groupe symétrique.

We give a totally explicit expression for the normalized characters of the symmetric group.

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Accepté le :
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DOI : 10.1016/j.crma.2005.09.016
Lassalle, Michel 1

1 Centre national de la recherche scientifique, Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée cedex, France
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Lassalle, Michel. Explicitation of characters of the symmetric group. Comptes Rendus. Mathématique, Tome 341 (2005) no. 9, pp. 529-534. doi : 10.1016/j.crma.2005.09.016. http://www.numdam.org/articles/10.1016/j.crma.2005.09.016/

[1] Corteel, S.; Goupil, A.; Schaeffer, G. Content evaluation and class symmetric functions, Adv. Math., Volume 188 (2004), pp. 315-336

[2] Frobenius, G. Über die Charaktere der Symmetrischen Gruppe, Sützungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin (1900), pp. 516-534

[3] Goupil, A.; Poulalhon, D.; Schaeffer, G. Central characters and conjugacy classes of the symmetric group, Proceedings 12th International Conference FPSAC'00, Springer-Verlag, Berlin/New York, 2000, pp. 238-249

[4] Ingram, R.E. Some characters of the symmetric group, Proc. Amer. Math. Soc., Volume 1 (1950), pp. 358-369

[5] Katriel, J. Explicit expressions for the central characters of the symmetric group, Discrete Appl. Math., Volume 67 (1996), pp. 149-156

[6] Kerov, S.; Olshanski, G. Polynomial functions on the set of Young diagrams, C. R. Acad. Sci. Paris Sér. I, Volume 319 (1994), pp. 121-126

[7] Lassalle, M. Some combinatorial conjectures for Jack polynomials, Ann. Comb., Volume 2 (1998), pp. 61-83

[8] Lassalle, M. A new family of positive integers, Ann. Comb., Volume 6 (2002), pp. 399-405

[9] Macdonald, I.G. Symmetric Functions and Hall Polynomials, Clarendon Press, Oxford, 1995

[10] Okounkov, A.; Olshanski, G. Shifted Schur functions, St. Petersburg Math. J., Volume 9 (1998), pp. 239-300

[11] Suzuki, M. The values of irreducible characters of the symmetric group, Amer. Math. Soc. Proceedings of Symposia in Pure Math., Volume 47 (1987), pp. 317-319

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