New large groups of type I

DOI10.1007/BF01098200zbMath0484.22027MaRDI QIDQ1163661

Grigori Olshanski

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

irreducible unitary representationshomogeneous treeinfinite- dimensional Lobachevski space

Mathematics Subject Classification ID

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

Related Items (10)

Certain Unitary Representations of the Infinite Symmetric Group, I ⋮ Some remarks on induced representations of infinite discrete groups ⋮ Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations ⋮ Groups of hierarchomorphisms of trees and related Hilbert spaces ⋮ On representations of the infinite symmetric group ⋮ Multi-operator colligations and multivariate characteristic functions ⋮ Degenerate affine Hecke algebras and centralizer construction for the symmetric groups ⋮ Borel actions of Polish groups ⋮ Grigori Iosifovich Olshanski ⋮ On the group of spheromorphisms of a homogeneous non-locally finite tree

Cites Work

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• Analyse harmonique dans les systèmes de Tits bornologiques de type affine
• The representation theory of the symmetric groups
• Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
• Reductive groups over a local field
• On unitary representations of the group of diffeomorphisms of a compact manifold
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• The Structure of Certain Unitary Representations of Infinite Symmetric Groups
• Spherical functions over a normed field whose residue field is infinite

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