Kostant section, universal centralizer, and a modular derived Satake equivalence

被引:0
|
作者
Simon Riche
机构
[1] Université Clermont Auvergne,Laboratoire de Mathématiques
[2] Université Blaise Pascal,undefined
[3] CNRS,undefined
[4] UMR 6620,undefined
[5] LM,undefined
来源
Mathematische Zeitschrift | 2017年 / 286卷
关键词
Universal Exchange; Regular Nilpotent Orbit; Smooth Commutative Group Scheme; Borel Subgroup; Natural Monoidal Structure;
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学科分类号
摘要
We prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for algebraically closed fields of positive characteristic (with mild assumptions), and for integral coefficients. As an application, we use these results to obtain a “mixed modular” analogue of the derived Satake equivalence of Bezrukavnikov–Finkelberg.
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页码:223 / 261
页数:38
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