Hoeffding spaces and Specht modules

Details Hoeffding spaces and Specht modules Hoeffding spaces and Specht modules

2009-04-20

arxiv.org/abs/0904.3086v1

Mathematics

Probability

13 pages

Scientific paper

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.

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