On Foulkes characters
Representation Theory
2021-08-11 v4
Abstract
Orthogonality relations for Foulkes characters of full monomial groups are presented, along with three solutions to the problem of decomposing products of these characters, and new applications, including a product reformulation of a Markov chain for adding random numbers studied by Diaconis and Fulman, and a new proof of a theorem of Zagier which generalizes one of Harer and Zagier on the enumeration of Riemann surfaces of a given genus.
Keywords
Cite
@article{arxiv.2101.04672,
title = {On Foulkes characters},
author = {Alexander R. Miller},
journal= {arXiv preprint arXiv:2101.04672},
year = {2021}
}