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论文题目:Kostka functions associated to complex reflection groups

论文作者:Toshiaki Shoji

发表刊物:Journal of Algebra

成果介绍:Kostka functions Kλ,μ±(t) associated to complex reflection groups are a generalization of Kostka polynomials, which are indexed by a pair λμ of r-partitions of n (and by the sign +, −). It is expected that there exists a close relationship between those Kostka functions and the intersection cohomology associated to the enhanced variety X of level r. In this paper, we study combinatorial properties of Kλ,μ±(t) based on the geometry of X. In particular, we show that in the case where μ=(−,…,−,μ(r)) (and for arbitrary λ), Kλ,μ−(t) has a Lascoux–Schützenberger type combinatorial description.

所属学科:基础数学

论文地址:https://www.sciencedirect.com/science/article/pii/S0021869316301594?via%3Dihub

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