The subgroup PSL(2,R) is spherical in the group of diffeomorphisms of the circle
classification
🧮 math.RT
math.GR
keywords
groupsphericalsubgroupcirclediffeomorphismstreeautomorphismsbruhat--tits
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We show that the group $PSL(2,R)$ is a spherical subgroup in the group of $C^3$-diffeomorphisms of the circle. Also, the group of automorphisms of a Bruhat--Tits tree is a spherical subgroup in the group of hierarchomorphisms of the tree.
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