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On the Representation Theory of some Noncrossing Partition Quantum Groups

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Abstract

We compute the representation theory of two families of noncrossing partition quantum groups connected to amalgamated free products and free wreath products. This illustrates the efficiency of the methods developed in our previous joint work with M. Weber.

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References

  1. Banica, T., Speicher, R.: Liberation of orthogonal Lie groups. Adv. Math. 222 4, 1461–1501 (2009)

    Article  MathSciNet  Google Scholar 

  2. Bichon, T.: Free wreath product by the quantum permutation group. Algebr. Represent. Theory 7(4), 343–362 (2004)

    Article  MathSciNet  Google Scholar 

  3. Freslon, A.: On the partition approach to Schur-Weyl duality and free quantum group. Transform. Groups 22(3), 705–751 (2017)

    Article  MathSciNet  Google Scholar 

  4. Freslon, A.: On two-coloured noncrossing partition quantum groups, Arxiv preprint (2017)

  5. Freslon, A., Weber, M.: On the representation theory of partition (easy) quantum groups. J. Reine Angew. Math. 720, 155–197 (2016)

    MathSciNet  MATH  Google Scholar 

  6. Lemeux, F.: Fusion rules for some free wreath product quantum groups and application. J. Funct. Anal. 267(7), 2507–2550 (2014)

    Article  MathSciNet  Google Scholar 

  7. Wang, S.: Free products of compact quantum groups. Comm. Math. Phys. 167(3), 671–692 (1995)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Mathématiques d’Orsay, Universitë Paris-Sud, CNRS, Université Paris-Saclay, 91405, Orsay, France

    Amaury Freslon

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  1. Amaury Freslon
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Correspondence to Amaury Freslon.

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Presented by: Kenneth Goodearl

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Freslon, A. On the Representation Theory of some Noncrossing Partition Quantum Groups. Algebr Represent Theor 23, 483–492 (2020). https://doi.org/10.1007/s10468-019-09858-8

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  • DOI: https://doi.org/10.1007/s10468-019-09858-8

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