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- W2951177919 abstract "Kostka functions $K^{pm}_{lambda, mu}(t)$ associated to complex reflection groups are a generalization of Kostka polynomials, which are indexed by $r$-partitions $lambda, mu$ and a sign $+, -$. It is known that Kostka polynomials have an interpretation in terms of Lusztig's partition function. Finkelberg and Ionov defined alternate functions $K_{lambda,mu}(t)$ by using an analogue of Lusztig's partition function, and showed that $K_{lambda,mu}(t)$ are polynomials in $t$ with non-negative integer coefficients. They conjecture that their $K_{lambda,mu}(t)$ coincide with $K^-_{lambda,mu}(t)$. In this paper, we show that their conjecture holds. We also discuss a multi-variable version of Kostka functions." @default.
- W2951177919 created "2019-06-27" @default.
- W2951177919 creator A5035067793 @default.
- W2951177919 date "2017-02-09" @default.
- W2951177919 modified "2023-09-27" @default.
- W2951177919 title "Kostka functions associated to complex reflection groups and a conjecture of Finkelberg-Ionov" @default.
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