Reflection positivity for the complementary series of SL(2n, \({\mathbb{C}})\)

DOI10.2977/prims/1195178376zbMath0601.22013OpenAlexW1685402373MaRDI QIDQ1080963

Robert Schrader

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178376

zbMATH Keywords

unitary representationsreflection positivityYang-Baxter equationscomplementary series of SL(2n, \({bbfC})\)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Constructive quantum field theory (81T08)

Related Items

Analytic continuation of local representations of symmetric spaces, Reflection positivity and conformal symmetry, The Berezin form on symmetric $R$-spaces and reflection positivity, A geometric construction of local representations of local Lie groups, Reflection Positivity for Unitary Representations of Lie Groups, Spherical functions on mixed symmetric spaces, Reflection positive stochastic processes indexed by Lie groups, Standard subspaces of Hilbert spaces of holomorphic functions on tube domains, Unitary representations of Lie groups with reflection symmetry, Euclidean quantum vector fields., Integrability of unitary representations on reproducing kernel spaces, Semigroups of measures in non-commutative harmonic analysis

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