Quantum Groups and Fuss--Catalan Algebras

By T. Banica. 2000

60 citations recorded by the source corpus.

Abstract: The categories of representations of compact quantum groups of automorphisms of certain inclusions of finite dimensional ℂ*-algebras are shown to be isomorphic to the categories of Fuss–Catalan diagrams.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/295d423c775887bb94baa2c092b9245821110e67

How researchers see this paper

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

In Geometry and Topology

1. Michael Brannan
2. Amaury Freslon
3. Yusuke Isono

In Mathematical Physics

1. Michael Brannan
2. Amaury Freslon
3. Yusuke Isono

Citations in the corpus

• Reduced operator algebras of trace-preserving quantum automorphism groups (2012, methodology): “A fundamental result of [4] is that there is an isomorphism of monoidal W∗-categories π : R0 → TL(2)(δ) given by π(U) = k, π(Mor(U, U)) = TL2k,2l(δ) (k, l ∈ N).”
• CCAP for Universal Discrete Quantum Groups (2013, unknown): “The compact quantum automorphism group of (B,ψ) [3, 43] is defined as the universal Hopf ∗-algebra O(Aaut(B,ψ)) which can be endowed with a coaction β : B → B ⊗O(A(B,ψ)) such that (ψ ⊗ ι) ◦ β(x) = ψ(x)1 for x ∈ B.”