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randompermutations

ESAIM: Probability and Statistics (1)

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Hoeffding spaces and Specht modules
Giovanni Peccati, Jean-Renaud Pycke
Journal:

ESAIM: Probability and Statistics / Volume 15 / 2011

Published online by Cambridge University Press:

15 October 2010, pp. S58-S68

Print publication:

2011
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It is proved that each Hoeffding space associated with a random permutation(or, equivalently, with extractions without replacement from a finitepopulation) carries an irreducible representation of the symmetric group,equivalent to a two-block Specht module.