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Journal Articles Mathematische Zeitschrift Year : 2017

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

Abstract

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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Dates and versions

hal-01081988 , version 1 (12-11-2014)
hal-01081988 , version 2 (12-12-2014)
hal-01081988 , version 3 (28-01-2015)
hal-01081988 , version 4 (20-05-2015)

Identifiers

  • HAL Id : hal-01081988 , version 4

Cite

Simon Riche. Kostant section, universal centralizer, and a modular derived Satake equivalence. Mathematische Zeitschrift, 2017, 286, pp.223-261. ⟨hal-01081988v4⟩
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