Martingales and character ratios
Representation Theory
2007-05-23 v1 Probability
Abstract
Some general connections between martingales and character ratios of finite groups are developed. As an application we sharpen the convergence rate in a central limit theorem for the character ratio of a random representation of the symmetric group on transpositions. A generalization of these results is given for Jack measure on partitions. We also give a probabilistic proof of a result of Burnside and Brauer on the decomposition of tensor products.
Cite
@article{arxiv.math/0402409,
title = {Martingales and character ratios},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/0402409},
year = {2007}
}
Comments
22 pages