Hoeffding spaces and Specht modules
Probability
2009-04-21 v1 Group Theory
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.
Cite
@article{arxiv.0904.3086,
title = {Hoeffding spaces and Specht modules},
author = {Giovanni Peccati and Jean-Renaud Pycke},
journal= {arXiv preprint arXiv:0904.3086},
year = {2009}
}
Comments
13 pages