Kostant section, universal centralizer, and a modular derived Satake equivalence
Representation Theory
2015-05-20 v4
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.
Cite
@article{arxiv.1411.3112,
title = {Kostant section, universal centralizer, and a modular derived Satake equivalence},
author = {Simon Riche},
journal= {arXiv preprint arXiv:1411.3112},
year = {2015}
}
Comments
v1: 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