The Hopf structure of symmetric group characters as symmetric functions
Combinatorics
2022-07-15 v3
Abstract
In arXiv:1605.06672 the authors introduced inhomogeneous bases of the ring of symmetric functions. The elements in these bases have the property that they evaluate to characters of symmetric groups. In this article we develop further properties of these bases by proving product and coproduct formulae. In addition, we give the transition coefficients between the elementary symmetric functions and the irreducible character basis.
Keywords
Cite
@article{arxiv.1901.00378,
title = {The Hopf structure of symmetric group characters as symmetric functions},
author = {Rosa Orellana and Mike Zabrocki},
journal= {arXiv preprint arXiv:1901.00378},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1605.06672; remark 1: irreducible character basis of the rook algebra