On two-coloured noncrossing quantum groups
Quantum Algebra
2018-06-12 v3 Operator Algebras
Abstract
We classify compact quantum groups associated to noncrossing partitions coloured with two elements and which are their own inverses. Together with the work of P. Tarrago and M. Weber, this completes the classification of all noncrossing quantum groups on two colours. We also give some general structure results concerning noncrossing quantum groups and suggest some more general classification statements.
Keywords
Cite
@article{arxiv.1708.01042,
title = {On two-coloured noncrossing quantum groups},
author = {Amaury Freslon},
journal= {arXiv preprint arXiv:1708.01042},
year = {2018}
}
Comments
30 pages. Several minor corrections and updates. Major changes in the organization of the main proofs, some of which have also been expanded