Yu. A. Neretin, “On the Sphericity of the Subgroup <nobr>$\operatorname{PSL}_2(\mathbb{R})$</nobr> in the Group of Diffeomorphisms of the Circle”, Funktsional. Anal. i Prilozhen., 2016, Volume 50, Issue 2,Pages <nobr>91

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Brief communications

On the Sphericity of the Subgroup $\operatorname{PSL}_2(\mathbb{R})$ in the Group of Diffeomorphisms of the Circle

Yu. A. Neretin^abc

^a University of Vienna
^b Institute for Theoretical and Experimental Physics
^c Lomonosov Moscow State University

Abstract: It is shown that the group $\operatorname{PSL}_2(\mathbb{R})$ is a spherical subgroup in the group of $C^3$-diffeomorphisms of the circle.

Keywords: spherical subgroup, spherical representation, group of diffeomorphisms of the circle, Schwarzian derivative.

UDC: 517.986.4+515.164.85

Received: 03.03.2015

DOI: 10.4213/faa3227