Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916815187214336 |
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| author | Kim, Jang Soo Lee, Seung Jin Yoo, Meesue |
| author_facet | Kim, Jang Soo Lee, Seung Jin Yoo, Meesue |
| contents | In this work, we obtain a Hall--Littlewood expansion of the chromatic quasisymmetric function arising from a natural unit interval order and describe the coefficients in terms of linked rook placements. Applying the Carlsson--Mellit relation between chromatic quasisymmetric functions and unicellular LLT polynomials, we also obtain a combinatorial description for the coefficients of the unicellular LLT polynomials expanded in terms of the modified transformed Hall--Littlewood polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23082 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements Kim, Jang Soo Lee, Seung Jin Yoo, Meesue Combinatorics Primary: 05A15, Secondary: 05A30 In this work, we obtain a Hall--Littlewood expansion of the chromatic quasisymmetric function arising from a natural unit interval order and describe the coefficients in terms of linked rook placements. Applying the Carlsson--Mellit relation between chromatic quasisymmetric functions and unicellular LLT polynomials, we also obtain a combinatorial description for the coefficients of the unicellular LLT polynomials expanded in terms of the modified transformed Hall--Littlewood polynomials. |
| title | Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements |
| topic | Combinatorics Primary: 05A15, Secondary: 05A30 |
| url | https://arxiv.org/abs/2506.23082 |