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arXiv · 2603.03886

A sign-reversing involution for the antipode of Schur functions

Younggwang Cho·Byung-Hak Hwang·Hojoon Lee
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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.

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Younggwang Cho, Byung-Hak Hwang, Hojoon Lee. 2026-03-04. A sign-reversing involution for the antipode of Schur functions. https://arxiv.org/abs/2603.03886

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