Dimensions of Newton strata in the adjoint quotient of reductive groups

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.

References in corpus (1)

• A guide to the reduction modulo p of Shimura varieties

Cited by in corpus (1)

• Centralizers of generic elements of Newton strata in the adjoint quotients of reductive groups