An affine generalization of evacuation

An affine generalization of evacuation
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疏散的仿射推广

DOI:
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发表时间:
2018
期刊:
Selecta Mathematica
影响因子:
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通讯作者:
E. Yudovina
E. Yudovina
中科院分区:
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文献类型:
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作者:
Michael Chmutov;Gabriel Frieden;Dongkwang Kim;J. Lewis;E. Yudovina

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We establish the existence of an involution on tabloids that is analogous to Schützenberger’s evacuation map on standard Young tableaux. We find that the number of its fixed points is given by evaluating a certain Green’s polynomial at q=-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q = -1$$\end{document}, and satisfies a “domino-like” recurrence relation.
We establish the existence of an involution on tabloids that is analogous to Schützenberger’s evacuation map on standard Young tableaux. We find that the number of its fixed points is given by evaluating a certain Green’s polynomial at q=-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q = -1$$\end{document}, and satisfies a “domino-like” recurrence relation.
仿射 A 型 Kazhdan-Lusztig 细胞中的单性
DOI: 10.1007/s00208-022-02434-4
发表时间: 2022
影响因子: 1.4
作者:
Chmutov, Michael;Lewis, Joel Brewster;Pylyavskyy, Pavlo
通讯作者: Pylyavskyy, Pavlo