Kostka functions associated to complex reflection groups and a conjecture of Finkelberg-Ionov

Author:

Shoji Toshiaki

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference12 articles.

1. Achar P N, Henderson A. Orbit closures in the enhanced nilpotent cone. Adv Math, 2008, 219: 27–62. Corrigendum, Adv Math, 2011, 228: 2984–2988

2. Brylinski R. Limits of weight spaces, Lusztig’s q-analogs, and fiberings of adjoint orbits. J Amer Math Soc, 1989, 2: 517–533

3. Finkelberg M, Ionov A. Kostka-Shoji polynomials and Lusztig’s convolution diagram. Bull Inst Math Acad Sin (NS), in press, arXiv:1605.05806, 2016

4. Hu Y. Higher cohomology vanishing of line bundles on generalized Springer’s resolution. ArXiv:1704.07947v2, 2017

5. Kato S-I. Spherical functions and a q-analogue of Kostant’s weight multiplicity formula. Invent Math, 1982, 66: 461–468

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2. On cyclic quiver parabolic Kostka-Shoji polynomials;Journal of Combinatorial Theory, Series A;2022-08

3. Generalized Green functions associated to complex reflection groups;Journal of Algebra;2020-09

4. Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution;Functional Analysis and Its Applications;2018-07

5. Preface;Science China Mathematics;2018-01-29

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