Geodesic
Decomposition of the Diagonal Action of Sn on the Coinvariant Space of Sn x Sn
Séminaire lotharingien de combinatoire, Tome 52 (2004-2007)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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. 

@article{SLC_2004-2007_52_a4,
     author = {Fran\c{c}ois Bergeron and Fran\c{c}ois Lamontagne},
     title = {Decomposition of the {Diagonal} {Action} of {Sn} on the {Coinvariant} {Space} of {Sn} x {Sn}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {52},
     year = {2004-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2004-2007_52_a4/}
}
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François Bergeron; François Lamontagne. Decomposition of the Diagonal Action of Sn on the Coinvariant Space of Sn x Sn. Séminaire lotharingien de combinatoire, Tome 52 (2004-2007). http://geodesic.mathdoc.fr/item/SLC_2004-2007_52_a4/