Class expansion of some symmetric functions in Jucys-Murphy elements
Representation Theory
2013-09-17 v2 Combinatorics
Abstract
We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symmetric functions, which interpolate between power sums and complete symmetric functions.
Keywords
Cite
@article{arxiv.1005.2346,
title = {Class expansion of some symmetric functions in Jucys-Murphy elements},
author = {Michel Lassalle},
journal= {arXiv preprint arXiv:1005.2346},
year = {2013}
}
Comments
53 pages, LaTeX, to appear in Journal of Algebra