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- W4309132018 abstract "This paper realizes of two families of combinatorial symmetric functions via the complex character theory of the finite general linear group $mathrm{GL}_{n}(mathbb{F}_{q})$: chromatic quasisymmetric functions and vertical strip LLT polynomials. The associated $mathrm{GL}_{n}(mathbb{F}_{q})$ characters are elementary in nature and can be obtained by induction from certain well-behaved characters of the unipotent upper triangular groups $mathrm{UT}_{n}(mathbb{F}_{q})$. The proof of these results also gives a general Hopf algebraic approach to computing the induction map. Additional results include a connection between the relevant $mathrm{GL}_{n}(mathbb{F}_{q})$ characters and Hessenberg varieties and a re-interpretation of known theorems and conjectures about the relevant symmetric functions in terms of $mathrm{GL}_{n}(mathbb{F}_{q})$." @default.
- W4309132018 created "2022-11-23" @default.
- W4309132018 creator A5047194741 @default.
- W4309132018 date "2022-11-13" @default.
- W4309132018 modified "2023-10-01" @default.
- W4309132018 title "A unipotent realization of the chromatic quasisymmetric function" @default.
- W4309132018 doi "https://doi.org/10.48550/arxiv.2211.06981" @default.
- W4309132018 hasPublicationYear "2022" @default.
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