Indexed metadata
Rectangular Symmetry for Catalan Functions
Hyeonjae Choi
Source 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.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.