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Bibliographic Details
Main Authors: Nguyen, Chau, Nguyen, Son, Woodruff, Dora
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.00349
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Table of Contents:
  • We give a new formula for the Littlewood--Richardson coefficients in terms of peelable tableaux compatible with shuffle tableaux, in the same fashion as Remmel--Whitney rule. This gives an efficient way to compute generalized Littlewood--Richardson coefficients for Temperley--Lieb immanants of Jacobi--Trudi matrices. We will also show that our rule behaves well with Bender--Knuth involutions, recovering the symmetry of Littlewood--Richardson coefficients. As an application, we use our rule to prove a special case of a Schur log-concavity conjecture by Lam--Postnikov--Pylyavskyy.