Hoeffding spaces and Specht modules
ESAIM: Probability and Statistics, Tome 15 (2011), pp. S58-S68.

It is proved that each Hoeffding space associated with a random permutation (or, equivalently, with extractions without replacement from a finite population) carries an irreducible representation of the symmetric group, equivalent to a two-block Specht module.

DOI : 10.1051/ps/2010022
Classification : 05E10, 60C05
Mots-clés : exchangeability, finite population statistics, Hoeffding decompositions, irreducible representations, random permutations, Specht modules, symmetric group 
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     title = {Hoeffding spaces and {Specht} modules},
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Peccati, Giovanni; Pycke, Jean-Renaud. Hoeffding spaces and Specht modules. ESAIM: Probability and Statistics, Tome 15 (2011), pp. S58-S68. doi : 10.1051/ps/2010022. http://www.numdam.org/articles/10.1051/ps/2010022/

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