On a conjecture of Kottwitz and Rapoport

Abstract

We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur's Inequality for all split and quasi-split (connected) reductive groups. These results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.

Added quasi-split case; simplified proof of split case

Cited by in corpus (1)

• On dominance and minuscule Weyl group elements