Action of Intertwining operators on pseudospherical Ktypes
Abstract
In this paper, we give a concrete description of the twofold cover of a simply connected, split real reductive group and its maximal compact subgroup as Chevalley groups. We define a representation of the maximal compact subgroup called pseudospherical representation, it appears with multiplicity one in the principal series representation. We introduce a family of canonically defined intertwining operators and compute the action of them on pseudospherical Ktypes, obtaining explicit formulas of the HarishChandra cfunction.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.01820
 Bibcode:
 2015arXiv151001820T
 Keywords:

 Mathematics  Representation Theory;
 20G05
 EPrint:
 21 pages