Unitary Representations and Osterwalder-Schrader Duality

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dc.creatorJorgensen, Palle E. T.
dc.creatorÓlafsson, Gestur
dc.date1999-08-06
dc.date.accessioned2026-07-07T05:30:13Z
dc.date.available2026-07-07T05:30:13Z
dc.descriptionThe 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.
dc.description68 pages; Dedicated to the memory of Irving E. Segal
dc.identifierhttps://arxiv.org/abs/math/9908031
dc.identifierhttp://arxiv.org/abs/math/9908031
dc.identifierThe Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis (R. Doran and V. Varadarajan, eds.), Proc. Sympos. Pure Math., vol. 68, American Mathematical Society, Providence, R.I., 2000, pp. 333--401.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78925
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.titleUnitary Representations and Osterwalder-Schrader Duality
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