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

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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.
23 pages, 7 figures

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