Braided free orthogonal quantum groups
Operator Algebras
2024-06-25 v3
Abstract
We construct some braided quantum groups over the circle group. These are analogous to the free orthogonal quantum groups and generalise the braided quantum SU(2) groups for complex deformation parameter. We describe their irreducible representations and fusion rules and study when they are monoidally equivalent.
Cite
@article{arxiv.1910.13129,
title = {Braided free orthogonal quantum groups},
author = {Ralf Meyer and Sutanu Roy},
journal= {arXiv preprint arXiv:1910.13129},
year = {2024}
}
Comments
17 pages; some changes to notation, added Lemma 2.10, corrected Proposition 3.4, and clarified a few points