Robert E. Kottwitz
Published 2003-07-03Version 1
The main purpose of this paper is to prove a group-theoretic generalization of a theorem of Katz on isocrystals. Along the way we reprove the group-theoretic generalization of Mazur's inequality for isocrystals due to Rapoport-Richartz, and generalize from split groups to unramified groups a result of Kottwitz-Rapoport which determines when an affine Deligne-Lusztig subset of the affine Grassmannian is non-empty.
Journal: Internat. Math. Res. Notices 26 (2003), 1433-1447
Basic functions and unramified local L-factors for split groups
Local integrability of Bessel functions on split groups
Minimal Parabolic $k$-subgroups acting on Symmetric $k$-varieties Corresponding to $k$-split Groups
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