GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SL<sub><i>ℓ</i></sub>(<i>F</i>): TORAL CASE
GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SL<sub><i>ℓ</i></sub>(<i>F</i>): TORAL CASE
Abstract We investigate the tempered representations derived from the principal series of SL ℓ ( 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 ℓ ( F ).