A Conjecture of Kottwitz and Rapoport for Split Groups
نویسنده
چکیده
We prove a result involving root systems that implies a converse to Mazur’s inequality for all split groups, conjectured by Kottwitz and Rapoport (see e.g. [6]). This was previously known for classical groups (see e.g. [7]) and G2 (see e.g. [3]).
منابع مشابه
On a Conjecture of Kottwitz and Rapoport
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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We prove a result involving root systems that implies a converse to Mazur’s inequality for all split groups, conjectured by Kottwitz and Rapoport (see [10]). This was previously known for classical groups (see [11]) and G2 (see [5]).
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