A sign-reversing involution for the antipode of Schur functions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Younggwang Cho, Byung-Hak Hwang, Hojoon Lee
DOI: 10.48550/arxiv.2603.03886
Cited by: 0
References: 1

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.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Advanced Mathematical Identities Advanced Topics in Algebra

Publication details

Journal / source
arXiv (Cornell University)
Publication date
4 March 2026
Language
EN
Document type
Preprint