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

Francois Bergeron, Francois Lamontagne

math.COarXiv:math/0406546

Abstract

The purpose of this paper is to give an explicit description of the irreducible decomposition of the multigraded Sn-module of coinvariants of Sn x Sn. Many of the results presented can be extended to analogous questions for other finite reflection group.

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