Year: 2026
Type: preprint
Abstract: Katabolizable tableaux provide a combinatorial formula for the Schur coefficients of Catalan functions. We prove that a tableau involution preserves katabolizability under antidiagonal reflection of any upper root ideal. This involution complements shape and content in a fixed rectangle and preserves charge. We obtain a bijective proof of the rectangular symmetry of these coefficients.
Source: arXiv (Cornell University)
Author: Choi, Hyeonjae
Institution: Sungkyunkwan University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222731894