English

On a conjecture of Kottwitz and Rapoport

Representation Theory 2009-04-30 v2 Number Theory

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.

Keywords

Cite

@article{arxiv.0805.4575,
  title  = {On a conjecture of Kottwitz and Rapoport},
  author = {Qëndrim R. Gashi},
  journal= {arXiv preprint arXiv:0805.4575},
  year   = {2009}
}

Comments

Added quasi-split case; simplified proof of split case

R2 v1 2026-06-21T10:45:24.588Z