Structure of the complementary series and special representations of the groupsO(n,1) andU(n,1)

DOI10.1070/rm2006v061n05abeh004356zbMath1148.22017OpenAlexW2059610713MaRDI QIDQ3508687

Mark I. Graev, Anatoly M. Vershik

Publication date: 1 July 2008

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2006v061n05abeh004356

zbMATH Keywords

complementary seriesspecial representationproperty (T)

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Unitary representations of locally compact groups (22D10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (11)

Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups ⋮ The Poisson model of the Fock space and representations of current groups ⋮ Nonunitary representations of the groups of \(U(p, q)\)-currents for \(q\geq p > 1\) ⋮ Special representations of the groups \(U(\infty,1)\) and \(O(\infty,1)\) and the associated representations of the current groups \(U(\infty,1)^X\) and \(O(\infty,1)^X\) in quasi-Poisson spaces ⋮ Symmetry breaking for representations of rank one orthogonal groups ⋮ Minimal representations via Bessel operators ⋮ Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)) ⋮ Integral models of representations of current groups ⋮ Integral models of unitary representations of current groups with values in semidirect products ⋮ Discrete components of some complementary series ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

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