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Transactions of the American Mathematical Society

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On two-coloured noncrossing partition quantum groups


Author: Amaury Freslon
Journal: Trans. Amer. Math. Soc.
MSC (2010): Primary 20G42, 05E10
DOI: https://doi.org/10.1090/tran/7846
Published electronically: June 10, 2019
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Abstract: We classify compact quantum groups associated to noncrossing partitions coloured with two elements $ x$ and $ y$ which are their own inverses. Together with the work of P. Tarrago and M. Weber, this completes the classification of all noncrossing partition quantum groups on two colours. We also give some general results on the class of all noncrossing partition quantum groups and suggest some wider classification statements.


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Additional Information

Amaury Freslon
Affiliation: Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France
Email: amaury.freslon@math.u-psud.fr

DOI: https://doi.org/10.1090/tran/7846
Keywords: Compact quantum groups, representation theory, noncrossing partitions
Received by editor(s): August 20, 2018
Received by editor(s) in revised form: December 16, 2018, and March 6, 2019
Published electronically: June 10, 2019
Article copyright: © Copyright 2019 American Mathematical Society