A tableaux formula for $q$-rook numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912459571331072 |
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| author | Basu, Tirtharaj Bhattacharya, Aritra |
| author_facet | Basu, Tirtharaj Bhattacharya, Aritra |
| contents | We provide a formula for the Garsia-Remmel $q$-rook numbers as a sum over standard Young tableaux. We connect our formula with the coefficients in $q$-Whittaker expansion of unicellular LLT functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00766 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A tableaux formula for $q$-rook numbers Basu, Tirtharaj Bhattacharya, Aritra Combinatorics Representation Theory 05E05 (Primary), 05A10, 05A30 (Secondary) We provide a formula for the Garsia-Remmel $q$-rook numbers as a sum over standard Young tableaux. We connect our formula with the coefficients in $q$-Whittaker expansion of unicellular LLT functions. |
| title | A tableaux formula for $q$-rook numbers |
| topic | Combinatorics Representation Theory 05E05 (Primary), 05A10, 05A30 (Secondary) |
| url | https://arxiv.org/abs/2507.00766 |