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Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements

Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements

来源:Arxiv_logoArxiv
英文摘要

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.

Jang Soo Kim、Seung Jin Lee、Meesue Yoo

数学

Jang Soo Kim,Seung Jin Lee,Meesue Yoo.Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements[EB/OL].(2025-06-29)[2025-07-17].https://arxiv.org/abs/2506.23082.点此复制

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