Séminaire Lotharingien de Combinatoire, B52e (2004), 24 pp.

François Bergeron and François Lamontagne

Decomposition of the Diagonal Action of Sn on the Coinvariant Space of Sn x Sn

Abstract. The purpose of this paper is to give an explicit description of the irreducible decomposition of the bigraded Sn-module of coinvariants of Sn x Sn. Many of the results presented here can be extended to Snk, and to other finite reflection group.

Received: May 21, 2004. Accepted: November 8, 2004. Final Version: November 10, 2004.

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