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Rectangular Symmetry for Catalan Functions

Choi, Hyeonjae
arXiv (All) · Papers
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05e05combinatoricsrepresentation-theory
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 preserve
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