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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On two-coloured noncrossing partition quantum groups
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by Amaury Freslon PDF
Trans. Amer. Math. Soc. 372 (2019), 4471-4508 Request permission

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.
References
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Additional Information
  • Amaury Freslon
  • Affiliation: Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France
  • MR Author ID: 980183
  • Email: amaury.freslon@math.u-psud.fr
  • 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
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 4471-4508
  • MSC (2010): Primary 20G42, 05E10
  • DOI: https://doi.org/10.1090/tran/7846
  • MathSciNet review: 4009434