18 citations · 34 across the 7 of their papers we have counts for
7 papers
Jordan-Chevalley decompositions over imperfect fields
Fabian Hebestreit, Manuel Hoff, Werner Hoffmann
We give a classification of Jordan-Chevalley decompositions of an endomorphism of a finite-dimensional vector space over a not necessarily perfect field, i.e. additive decompositio…
The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group
Tobias Finis, Werner Hoffmann, Satoshi Wakatsuki
In this paper, a zeta integral for the space of binary cubic forms is associated with the subregular unipotent contribution to the geometric side of the Arthur trace formula for th…
The trace formula and prehomogeneous vector spaces
Werner Hoffmann
We describe an approach to express the geometric side of the Arthur-Selberg trace formula in terms of zeta integrals attached to prehomogeneous vector spaces. This will provide exp…
On the geometric side of the Arthur trace formula for the symplectic group of rank 2
Werner Hoffmann, Satoshi Wakatsuki
We study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group or the split symplectic group of rank 2 over any algeb…
Induced conjugacy classes, prehomogeneous varieties, and canonical parabolic subgroups
Werner Hoffmann
We extend the notion of induced conjugacy classes in reductive groups, introduced by Lusztig and Spaltenstein for unipotent classes, to arbitrary classes. We study properties of eq…
Asymptotic and descent formulas for weighted orbital integrals
Werner Hoffmann
We rewrite Arthur's asymptotic formula for weighted orbital integrals on real groups with the aid of a residue calculus and extend the resulting formula to the Schwartz space. Then…