# Hoeffding spaces and Specht modules

Giovanni Peccati; Jean-Renaud Pycke

ESAIM: Probability and Statistics (2011)

- Volume: 15, page S58-S68
- ISSN: 1292-8100

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topPeccati, Giovanni, and Pycke, Jean-Renaud. "Hoeffding spaces and Specht modules." ESAIM: Probability and Statistics 15 (2011): S58-S68. <http://eudml.org/doc/277134>.

@article{Peccati2011,

abstract = {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.},

author = {Peccati, Giovanni, Pycke, Jean-Renaud},

journal = {ESAIM: Probability and Statistics},

keywords = {exchangeability; finite population statistics; Hoeffding decompositions; irreducible representations; random permutations; Specht modules; symmetric group},

language = {eng},

pages = {S58-S68},

publisher = {EDP-Sciences},

title = {Hoeffding spaces and Specht modules},

url = {http://eudml.org/doc/277134},

volume = {15},

year = {2011},

}

TY - JOUR

AU - Peccati, Giovanni

AU - Pycke, Jean-Renaud

TI - Hoeffding spaces and Specht modules

JO - ESAIM: Probability and Statistics

PY - 2011

PB - EDP-Sciences

VL - 15

SP - S58

EP - S68

AB - 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.

LA - eng

KW - exchangeability; finite population statistics; Hoeffding decompositions; irreducible representations; random permutations; Specht modules; symmetric group

UR - http://eudml.org/doc/277134

ER -

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