00-444 Palle E.T. Jorgensen, Gestur Olafsson
Unitary Representations and Osterwalder-Schrader Duality (263K, LaTeX2e amsproc class, 68 pages) Nov 9, 00
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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.

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