GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SLℓ(F): TORAL CASE

KUOK FAI CHAO
2011 Bulletin of the Australian Mathematical Society  
We investigate the tempered representations derived from the principal series of SL (F) and their geometric structure. In particular, we give the parameterization for special representations and prove the tempered part of the Aubert-Baum-Plymen conjecture for the toral cases of SL (F). 2010 Mathematics subject classification: primary 20G05; secondary 22E47.
doi:10.1017/s0004972711002383 fatcat:uzp42wm4dvau3cjffd24yrcppm