00-444 Palle E.T. Jorgensen, Gestur Olafsson

Unitary Representations and Osterwalder-Schrader Duality (263K, LaTeX2e amsproc class, 68 pages) Nov 9, 00

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 00-444.src( 00-444.comments , 00-444.keywords , hcpaper4.tex )