Work

Patterns in trees and quantum automorphism groups

Year: 2026

Type: article

Abstract: We prove that given a fixed finite tree P , almost all trees contain P as a subtree. Moreover, the inclusion can be made so that it induces an embedding of the corresponding (quantum) automorphism groups, thereby providing generic properties of the latter.

Source: Archiv der Mathematik

DOI: 10.1007/s00013-026-02260-z

Authors: Lucas Alger, Julie Capron, Félix de la Salle

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Université Paris-Saclay