Palle E.T. Jorgensen, Gestur Olafsson
Unitary Representations and Osterwalder-Schrader Duality
(263K, LaTeX2e amsproc class, 68 pages)

ABSTRACT.  The notions of reflection, symmetry, and positivity from quantum field theory 
are shown to induce a duality operation for a general class of unitary 
representations of Lie groups. The semisimple Lie groups which have this 
c-duality are identified and they are placed in the context of 
Harish-Chandra's legacy for the unitary representations program. Our paper 
begins with a discussion of path space measures, which is the setting where 
reflection positivity (Osterwalder-Schrader) was first identified as a useful 
tool of analysis.