Let T be a homogeneous tree of degree 3, let G be the automorphism group of T, and let π+ and π- be the special representations of G. We consider two discrete subgroups of G isomorphic to Z3 * Z3 and Z2 * Z2 * Z2 and show how to decompose into irreducibles the restrictions of π+ and π- to these subgroups. We also present a general formula relating continuous dimension for representations of discrete groups and formal dimension for representations of continuous groups

Kuhn, M., Steger, T. (1992). Restrictions of the special representation of ${\rm Aut}({\rm tree}\sb 3)$ to two cocompact subgroups. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 22(4), 1349-1363 [10.1216/rmjm/1181072661].

Restrictions of the special representation of ${\rm Aut}({\rm tree}\sb 3)$ to two cocompact subgroups

KUHN, MARIA GABRIELLA;
1992

Abstract

Let T be a homogeneous tree of degree 3, let G be the automorphism group of T, and let π+ and π- be the special representations of G. We consider two discrete subgroups of G isomorphic to Z3 * Z3 and Z2 * Z2 * Z2 and show how to decompose into irreducibles the restrictions of π+ and π- to these subgroups. We also present a general formula relating continuous dimension for representations of discrete groups and formal dimension for representations of continuous groups
Articolo in rivista - Articolo scientifico
Continuous dimension, Formal dimension, Free products, Homogeneous tree, Special representation
English
1992
22
4
1349
1363
none
Kuhn, M., Steger, T. (1992). Restrictions of the special representation of ${\rm Aut}({\rm tree}\sb 3)$ to two cocompact subgroups. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 22(4), 1349-1363 [10.1216/rmjm/1181072661].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18640
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