%0 Journal Article
%T Admissibility and permissibility for minuscule cocharacters in orthogonal groups
%A Brian D. Smithling
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1001.0937v3