Compact Quantum Groups and Their Representation Categories

354 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Drinfeld Center and Representation Theory for Monoidal Categories (2015, methodology): “rk and for their interest in ours. 2 2. Preliminaries 2.1. C∗-tensor categories. The main object of our study is rigid C∗-tensor categories, and in general we keep the conventions of [NY14], see also [NT13] for the proofs. For the convenience of the reader let us summarize the basic terminology. A C”
Operator Algebras in Rigid C*-Tensor Categories (2016, background): “om De- nition5.31if and only if Chas the corresponding property in the sense of [PV15, Def. 5.1]. Example 5.36 (Discrete quantum groups). We rapidly recall the basics of discrete quantum groups from [NT13]. We refer the reader there for additional details. Suppose Cadmits a dagger tensor functor (F;”
Annular representation theory for rigid $C^{*}$-tensor categories (2015, background): “C -tensor categories. For a more detailed discussion and analysis of the axioms of a rigid C -tensor category, see the paper of Longo and Roberts [22] and Chapter 2 of the book by Neshveyev and Tuset [26]. For the discussion of C -tensor categories and their relationship with other notions of dualit”
Unitary Easy Quantum Groups: the free case and the group case (2015, methodology): “We also have a reduced version of G given by the C-algebra Cr(G) obtained from the GNS construction with the Haar state on Cf(G) (see [NT13] for details).”