Reflection Positivity for Unitary Representations of Lie Groups

DOI10.2307/2159396zbMath0757.47018OpenAlexW4241501128MaRDI QIDQ3987611

Humberto E. Prado

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159396

zbMATH Keywords

symmetric spacereflection positivityinvolutive automorphismlocal representationssimply connected Lie groupunitary representations of universal covering groups

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation theory of linear operators (47A67)

Related Items (2)

A geometric construction of local representations of local Lie groups ⋮ Integrability of unitary representations on reproducing kernel spaces

Cites Work

• On virtual representations of symmetric spaces and their analytic continuation
• From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity
• Reflection positivity for the complementary series of SL(2n, \({\mathbb{C}})\)
• Analytic continuation of local representations of symmetric spaces
• Axioms for Euclidean Green's functions
• Analytic continuation of local representations of Lie groups

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