Unitary representations of the diffeomorphism group of the p-adic projective line
type: Item
instance of: scholarly article
title: Unitary representations of the diffeomorphism group of the p-adic projective line
zbMATH Open document ID: 0576.22007
DOI: 10.1007/BF01083703
publication date: 1984-01-01T00:00:00Z
review text: The author constructs and studies a series of unitary representations of the group of all local automorphisms of the Bruhat-Tits tree \(J_ p\). Representations of Aut \(J_ p\) were studied by \textit{G. I. Ol'shanskij} [see Funkts. Anal. Prilozh. 11, No.1, 32-42 (1977; Zbl 0359.22010)].
Mathematics Subject Classification ID: 22A25
Mathematics Subject Classification ID: 05C05
zbMATH DE Number: 3920813
zbMATH Keywords: unitary representations
zbMATH Keywords: local automorphisms
zbMATH Keywords: Bruhat-Tits tree
author: Yu A. Neretin
reviewed by: Yurii V. Mukhin
MaRDI profile type: Publication
cites work: Q4132782
cites work: The complementary series of representations of the group of diffeomorphisms of the circle
cites work: The Plancherel transform on SL//2(k) and its application to the decomposition of tensor products of irreducible representations
full work available at URL: https://doi.org/10.1007/bf01083703
OpenAlex ID: W1979095257
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3920813