Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alcoves associated to special fibers of local models   The special fiber of the local model of a PEL Shimura variety with
Iwahori-type level structure admits a cellular decomposition. The set of strata
is in a natural way a finite subset of the affine Weyl group determined by the
Shimura data. In this paper, we generalize and give a new proof of a theorem of
Kottwitz and Rapoport concerning the description of this set for the case of
linear and symplectic groups. For higher rank groups not of type A_n, we
produce counterexamples showing the situation is not as nice in general. Also,
we recover a theorem of Deodhar characterizing the Bruhat order on S_n.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas