Inadmissible representations of the tree automorphism group

Fuente: arXiv
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Autor principal: Monod, Nicolas
Formato: Preprint
Publicado: 2026
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author Monod, Nicolas
author_facet Monod, Nicolas
contents The automorphism group of a regular locally finite tree is shown to admit irreducible Banach representations that are not admissible. The dense subspace of smooth vectors contains no algebraically irreducible component.
format Preprint
id arxiv_https___arxiv_org_abs_2603_16819
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Inadmissible representations of the tree automorphism group
Monod, Nicolas
Group Theory
Representation Theory
The automorphism group of a regular locally finite tree is shown to admit irreducible Banach representations that are not admissible. The dense subspace of smooth vectors contains no algebraically irreducible component.
title Inadmissible representations of the tree automorphism group
topic Group Theory
Representation Theory
url https://arxiv.org/abs/2603.16819