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arXiv · 2608.26362

Representation stability for compact and discrete quantum groups

Michael Brannan·Junichiro Matsuda·Erik Séguin
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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.

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Michael Brannan, Junichiro Matsuda, Erik Séguin. 2026-08-26. Representation stability for compact and discrete quantum groups. https://arxiv.org/abs/2608.26362

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