Explicitation of characters of the symmetric group

Michel Lassalle

doi:10.1016/j.crma.2005.09.016

Group Theory

Explicitation of characters of the symmetric group

Presented by: Michèle Vergne

Michel Lassalle ¹

¹ Centre national de la recherche scientifique, Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée cedex, France

Comptes Rendus. Mathématique, Volume 341 (2005) no. 9, pp. 529-534

Abstract (Original language)
Résumé

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

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

Received: 2005-08-12
Accepted: 2005-09-09
Published online: 2005-10-11

DOI: 10.1016/j.crma.2005.09.016

Author's affiliations:

Michel Lassalle 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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Michel Lassalle. Explicitation of characters of the symmetric group. Comptes Rendus. Mathématique, Volume 341 (2005) no. 9, pp. 529-534. doi: 10.1016/j.crma.2005.09.016

References
Cited by

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

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

[3] A. Goupil; D. Poulalhon; G. Schaeffer 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] R.E. Ingram Some characters of the symmetric group, Proc. Amer. Math. Soc., Volume 1 (1950), pp. 358-369

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

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

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

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

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

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

[11] M. Suzuki 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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