On a conjecture of Kottwitz and Rapoport

Mathematics – Representation Theory

Scientific paper

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Added quasi-split case; simplified proof of split case

Scientific paper

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.

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