Products of characters of the symmetric group
Combinatorics
2017-09-26 v1
Abstract
In a recent paper, the authors introduced a new basis of the ring of symmetric functions which evaluate to the irreducible characters of the symmetric group at roots of unity. The structure coefficients for this new basis are the stable Kronecker coefficients. In this paper we give combinatorial descriptions for several products that have as consequences several versions of the Pieri rule for this new basis of symmetric functions. In addition, we give several applications of the products studied in this paper.
Keywords
Cite
@article{arxiv.1709.08098,
title = {Products of characters of the symmetric group},
author = {Rosa Orellana and Mike Zabrocki},
journal= {arXiv preprint arXiv:1709.08098},
year = {2017}
}
Comments
24 pages