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Unitary Representations and Osterwalder-Schrader Duality

Palle E. T. Jorgensen·Gestur Ólafsson
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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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Palle E. T. Jorgensen, Gestur Ólafsson. 1999-08-06. Unitary Representations and Osterwalder-Schrader Duality. https://arxiv.org/abs/math/9908031

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