72 citations · 94 across the 19 of their papers we have counts for
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Free Inhomogeneous Wreath Product of Quantum Groups
Josse van Dobben de Bruyn, Amaury Freslon, Prem Nigam Kar +2
We introduce the free inhomogeneous wreath product of compact matrix quantum groups, which generalizes the free wreath product (Bichon 2004). We use this to present a general techn…
Gaussian Generating functionals on easy quantum groups
Uwe Franz, Amaury Freslon, Adam Skalski
We describe all Gaussian generating functionals on several easy quantum groups given by non-crossing partitions. This includes in particular the free unitary, orthogonal and symple…
Connectedness and Gaussian Parts for Compact Quantum Groups
Uwe Franz, Amaury Freslon, Adam Skalski
We introduce the Gaussian part of a compact quantum group , namely the largest quantum subgroup of supporting all the Gaussian functionals of .…
Free wreath products with amalgamation
Amaury Freslon
We define and study a notion of free wreath product with amalgamation for compact quantum groups. These objects were already introduced in the case of duals of discrete groups unde…
On two-coloured noncrossing quantum groups
Amaury Freslon
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 an…
Wreath products of finite groups by quantum groups
Amaury Freslon, Adam Skalski
We introduce a notion of partition wreath product of a finite group by a partition quantum group, a construction motivated on the one hand by classical wreath products and on the o…
Fusion (semi)rings arising from quantum groups
Amaury Freslon
We study the fusion semirings arising from easy quantum groups. We classify all the possible free ones, answering a question of T. Banica and R. Vergnioux : these are exactly the f…
On the representation theory of partition (easy) quantum groups
Amaury Freslon, Moritz Weber
Compact matrix quantum groups are strongly determined by their intertwiner spaces, due to a result by S.L. Woronowicz. In the case of easy quantum groups, the intertwiner spaces ar…