Unitary representations of the infinite-dimensional classical groups U(p,infinity), SO//0(p,infinity), Sp(p,infinity) and the corresponding motion groups

DOI10.1007/BF01681430zbMath0411.22017OpenAlexW2010730357MaRDI QIDQ1259705

Grigori Olshanski

Publication date: 1979

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01681430

zbMATH Keywords

unitary representationsmotion groupsinfinite-dimensional classical groups

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

Projective representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\) via quasifree states on the CAR algebra ⋮ Conical representations for direct limits of symmetric spaces ⋮ The Whishart-Pickrell distributions and closures of group actions ⋮ Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields ⋮ Nonlinear completely positive maps and dilation theory for real involutive algebras ⋮ Degenerate affine Hecke algebras and centralizer construction for the symmetric groups

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• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• Algebraic Results on Representations of Semisimple Lie Groups
• A Theory of Spherical Functions. I

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