A tableaux formula for $q$-rook numbers
Combinatorics
2025-07-02 v1 Representation Theory
Abstract
We provide a formula for the Garsia-Remmel -rook numbers as a sum over standard Young tableaux. We connect our formula with the coefficients in -Whittaker expansion of unicellular LLT functions.
Keywords
Cite
@article{arxiv.2507.00766,
title = {A tableaux formula for $q$-rook numbers},
author = {Tirtharaj Basu and Aritra Bhattacharya},
journal= {arXiv preprint arXiv:2507.00766},
year = {2025}
}
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