Comptes Rendus
no. 8
Algebra
A Note on the Grothendieck ring of the symmetric group

Presented by: Michèle Vergne

Cédric Bonnafé1
1 Laboratoire de mathématiques de Besançon, (CNRS – UMR 6623), université de Franche-Comté, 16, route de Gray, 25030 Besançon cedex, France
Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 533-538.

Let p be a prime number and let n be a non-zero natural number. We compute the descending Loewy series of the algebra Rn/pRn, where Rn denotes the ring of virtual ordinary characters of the symmetric group Sn.

Soit p un nombre premier et soit n un entier naturel non nul. Nous calculons la série de Loewy descendante de l'algèbre Rn/pRn, où Rn désigne l'anneau des caractères virtuels ordinaires du groupe symétrique Sn.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.02.028

Cédric Bonnafé 1

1 Laboratoire de mathématiques de Besançon, (CNRS – UMR 6623), université de Franche-Comté, 16, route de Gray, 25030 Besançon cedex, France 
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Cédric Bonnafé. A Note on the Grothendieck ring of the symmetric group. Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 533-538. doi : 10.1016/j.crma.2006.02.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.028/

[1] C.W. Curtis; I. Reiner Methods of Representation Theory, vol. I, With Applications to Finite Groups and Orders, Wiley Classics Library, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1990 (Reprint of the 1981 original)

[2] M. Geck; G. Pfeiffer Characters of Finite Coxeter Groups and Iwahori–Hecke Algebras, London Math. Soc. Monogr. (N.S.), vol. 21, The Clarendon Press, Oxford University Press, New York, 2000

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