Unitary representations defined by boundary conditions - the case of sl(2,R)

DOI10.1007/BF02392237zbMath0476.43008MaRDI QIDQ1160383

R. Ranga Rao

Publication date: 1978

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

unitary irreducible representationssimply connected Lie groupSL(2,R)symmetric modul

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Boundary value problems on manifolds (58J32) Analysis on other specific Lie groups (43A80)

Related Items

Extensions and index of Hermitian representations ⋮ The Maslov index on the simply connected covering group and the metaplectic representation ⋮ Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups ⋮ Selfadjoint operator extensions satisfying the Weyl commutation relations ⋮ Poisson formulae of Hecke type ⋮ Representations of differential operators on a Lie group, and conditions for a Lie algebra of operators to generate a representation of the group ⋮ Laguerre semigroup and Dunkl operators

Cites Work

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• Analytic vectors
• The Plancherel formula for the universal covering group of SL(R, 2)
• Irreducible unitary representations of the Lorentz group
• Representation of Elliptic Operators in an Enveloping Algebra
• Weil representation. I. Intertwining distributions and discrete spectrum
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
• Analytic continuation of the irreducible unitary representations of the universal covering group of 𝑆𝐿(2,𝑅)

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