Kostant section, universal centralizer, and a modular derived Satake equivalence
arXiv:1411.3112
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.
arXiv commentv1: 27 pages; v2: minor reorganization; v3: 28 pages, minor additions; v4: 38 pages, title changed to reflect the addition of an application to a derived Satake equivalence
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