Work

Representation stability for compact and discrete quantum groups

Year: 2026

Type: preprint

Abstract: We study approximate representations of locally compact quantum groups and prove stability results in the sense of Ulam in this context. Our main result is that compact and amenable discrete quantum groups are representation stable. We also show that an analogous stability result holds for unitary compressions of general amenable locally compact quantum groups without the assumption of compactness or discreteness.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.26362

Authors: Brannan, Michael, Matsuda, Junichiro, Séguin, Erik

Institutions: Ritsumeikan University, Seoul National University, University of Waterloo

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Natural Sciences and Engineering Research Council of Canada, Japan Society for the Promotion of Science

Award: G7889902951

OpenAlex ID: W7204523704

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