Unitary representations of the diffeomorphism group of the p-adic projective line

DOI10.1007/BF01083703zbMath0576.22007OpenAlexW1979095257MaRDI QIDQ1065165

Yuriĭ A. Neretin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01083703

zbMATH Keywords

unitary representationsBruhat-Tits treelocal automorphisms

Mathematics Subject Classification ID

Trees (05C05) Representations of general topological groups and semigroups (22A25)

Related Items (7)

Non-discrete simple locally compact groups ⋮ Groups of hierarchomorphisms of trees and related Hilbert spaces ⋮ Commensurated subgroups in tree almost automorphism groups ⋮ Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets ⋮ On spherical unitary representations of groups of spheromorphisms of Bruhat-Tits trees ⋮ Simplicity of Neretin's group of spheromorphisms. ⋮ On the group of spheromorphisms of a homogeneous non-locally finite tree

Cites Work

• Unnamed Item
• The Plancherel transform on SL//2(k) and its application to the decomposition of tensor products of irreducible representations
• The complementary series of representations of the group of diffeomorphisms of the circle

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