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

Francois Bergeron·Francois Lamontagne
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Abstract

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

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Francois Bergeron, Francois Lamontagne. 2004-06-27. Decomposition of the Diagonal Action of S_n on the Coinvariant Space of S_n x S_n. https://arxiv.org/abs/math/0406546

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