Admissibility and permissibility for minuscule cocharacters in orthogonal groups

Abstract

For a given cocharacter mu, mu-admissibility and mu-permissibility are combinatorial notions introduced by Kottwitz and Rapoport that arise in the theory of bad reduction of Shimura varieties. In this paper we prove that mu-admissibility is equivalent to mu-permissibility in all previously unknown cases of minuscule cocharacters mu in Iwahori-Weyl groups attached to split orthogonal groups. This, combined with other cases treated previously by Kottwitz-Rapoport and the author, establishes the equivalence of mu-admissibility and mu-permissibility for all minuscule cocharacters in split classical groups, as conjectured by Rapoport.

arXiv comment16 pages. Minor revisions, some of which incorporate suggestions of the referee

References in corpus (2)

• A guide to the reduction modulo p of Shimura varieties
• Topological flatness of orthogonal local models in the split, even case. I

Cited by in corpus (1)

• Topological flatness of orthogonal local models in the split, even case. I