On the Representation Theory of some Noncrossing Partition Quantum Groups

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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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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Keywords

  • Compact quantum groups
  • Representation theory
  • Noncrossing partitions