On the Hodge-Newton decomposition for split groups
Representation Theory
2007-05-23 v1
Abstract
The main purpose of this paper is to prove a group-theoretic generalization of a theorem of Katz on isocrystals. Along the way we reprove the group-theoretic generalization of Mazur's inequality for isocrystals due to Rapoport-Richartz, and generalize from split groups to unramified groups a result of Kottwitz-Rapoport which determines when an affine Deligne-Lusztig subset of the affine Grassmannian is non-empty.
Cite
@article{arxiv.math/0307052,
title = {On the Hodge-Newton decomposition for split groups},
author = {Robert E. Kottwitz},
journal= {arXiv preprint arXiv:math/0307052},
year = {2007}
}