English

Dimensions of Newton strata in the adjoint quotient of reductive groups

Algebraic Geometry 2007-05-23 v1

Abstract

This paper generalizes the classical theory of Newton polygons from the case of general linear groups to the case of split reductive groups. It also gives a root-theoretic formula for dimensions of Newton strata in the adjoint quotients of reductive groups.

Keywords

Cite

@article{arxiv.math/0601196,
  title  = {Dimensions of Newton strata in the adjoint quotient of reductive groups},
  author = {Robert E. Kottwitz},
  journal= {arXiv preprint arXiv:math/0601196},
  year   = {2007}
}