A sign-reversing involution for the antipode of Schur functions
Combinatorics
2026-03-05 v1
Abstract
We resolve a question posed by Benedetti and Sagan by constructing a signreversing involution on Takeuchi's expansion that yields the antipode for the ring of symmetric functions in terms of the Schur basis.
Cite
@article{arxiv.2603.03886,
title = {A sign-reversing involution for the antipode of Schur functions},
author = {Younggwang Cho and Byung-Hak Hwang and Hojoon Lee},
journal= {arXiv preprint arXiv:2603.03886},
year = {2026}
}
Comments
6 pages