The subregular germ of orbital integrals
@article{Hales1992TheSG, title={The subregular germ of orbital integrals}, author={Thomas C. Hales}, journal={Memoirs of the American Mathematical Society}, year={1992}, volume={99}, pages={0-0} }
Basic constructions Coordinates and coordinate relations Groups of rank two The subregular spurious divisor The subregular fundamental divisor Rationality and characters Applications to endoscopic groups.
5 Citations
Hyperelliptic Curves and Harmonic Analysis ( Why harmonic analysis on reductive p-adic groups is not elementary )
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This paper constructs several families of hyperelliptic curves over finite fields and shows how basic objects of p-adic harmonic analysis are described by the number of points on these curves. This…
UNIPOTENT REPRESENTATIONS AND UNIPOTENT CLASSES IN SL(N)
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- 1993
To achieve the stabilization of the trace formula for a reductive group [18], there are two related problems that must first be solved. One is the matching of the sorbital integrals of smooth…
ORBITAL INTEGRALS ON FORMS OF SL(3), / / R. P. LANGLANDS AND D. SHELSTAD
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0. Introduction. In the paper [6] we described in a precise fashion the notion of transfer of orbital integrals from a reductive group over a local field to an endoscopic group. We did not, however,…
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- 1994
The transfer of germs of orbital integrals is carried out for the twisted endoscopy of GL(4) and GL(5), for p-adic fields of odd residual characteristic. We also transfer the κ-orbital integrals of…
Comparaison d’intégrales orbitales pour des Groupesp-adiques
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- 1995
(a) Soient F un corps local non archimedien de caracteristique nulle, a corps residuel fini, et G un groupe reductif connexe defini sur F. Munissons G(F) d’une mesure de Haar. Plus generalement, pour…
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