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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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Cite

BibTeXRIS
BibTeX
@misc{brannan2026representation,
  title = {{Representation stability for compact and discrete quantum groups}},
  author = {Michael Brannan and Junichiro Matsuda and Erik Séguin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.26362},
  eprint = {2608.26362},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.26362},
}
RIS
TY  - UNPB
TI  - Representation stability for compact and discrete quantum groups
AU  - Michael Brannan
AU  - Junichiro Matsuda
AU  - Erik Séguin
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2608.26362
UR  - https://arxiv.org/abs/2608.26362
AB  - 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.
ER  -