51 citations · 157 across the 17 of their papers we have counts for
18 papers
Reductive groups, epsilon factors and Weil indices
Robert E. Kottwitz
The paper proves an identity involving Weil indices and epsilon factors for a local field. The starting point is a pair consisting of a reductive group and a maximal torus.
Primitive elements in -divisible groups
Robert Kottwitz, Preston Wake
We introduce the notion of primitive elements in arbitrary truncated -divisible groups. By design, the scheme of primitive elements is finite and locally free over the base. Pri…
B(G) for all local and global fields
Robert Kottwitz
Generalizing earlier results concerning p-adic fields, this paper develops a theory of B(G) for all local and global fields.
On Splitting Invariants and Sign Conventions in Endoscopic Transfer
R. Kottwitz, D. Shelstad
The transfer factors for standard endoscopy involve, among other things, the Langlands-Shelstad splitting invariant. This note introduces a twisted version of that splitting invari…
Dimensions of affine Deligne-Lusztig varieties in affine flag varieties
Ulrich Goertz, Xuhua He
Affine Deligne-Lusztig varieties are analogs of Deligne-Lusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper arXiv:0805.0045v4 by Ha…
Generalized affine Springer fibers
Robert Kottwitz, Eva Viehmann
This paper studies two new kinds of affine Springer fibers that are adapted to the root valuation strata of Goresky-Kottwitz-MacPherson. In addition it develops various linear vers…