Restrictions of the special representation of \(\text{Aut}(\text{tree}_ 3)\) to two cocompact subgroups

DOI10.1216/rmjm/1181072661zbMath0795.22004OpenAlexW2005646455MaRDI QIDQ1802701

Tim Steger, M. Gabriella Kuhn

Publication date: 29 June 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072661

zbMATH Keywords

automorphism groupirreducible unitary representationsgroups acting on treesdiscrete series representationshomogeneous treediscrete cocompact subgroup

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Analysis on (p)-adic Lie groups (22E35) Groups acting on trees (20E08)

Related Items (5)

Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ The density theorem for discrete series representations restricted to lattices ⋮ Random walks on free products ⋮ Representation theoretic rigidity in \(PSL(2,\mathbb{R})\) ⋮ Restrictions of the special representation of \(\text{Aut}(\text{tree}_ 3)\) to two cocompact subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Plancherel measure for polygonal graphs
• Maximal abelian subalgebras of function algebras associated with free products
• Spherical functions and harmonic analysis on free groups
• Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees
• A geometric construction of the discrete series for semisimple Lie groups
• An example of a non nuclear C*-algebra, which has the metric approximation property
• Restrictions of the special representation of \(\text{Aut}(\text{tree}_ 3)\) to two cocompact subgroups
• Projections of uniqueness for L\(^p\)(G)
• Les Fonctions De Type Positif et la Theorie Des Groupes

This page was built for publication: Restrictions of the special representation of \(\text{Aut}(\text{tree}_ 3)\) to two cocompact subgroups