Towards a Classification of Compact Quantum Groups of Lie Type
DOI10.1007/978-3-319-39286-8_11zbMath1434.22003arXiv1603.05519OpenAlexW2302219593MaRDI QIDQ5269303
Makoto Yamashita, Sergey V. Neshveyev
Publication date: 15 June 2017
Published in: Operator Algebras and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05519
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum groups (quantized function algebras) and their representations (20G42) General properties and structure of locally compact groups (22D05) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Hopf algebras and their applications (16T05)
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- Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld category and the category of \(U_q{\mathfrak g}\)-modules
- Graded twisting of categories and quantum groups by group actions
- Categories generated by a trivalent vertex
- A rigidity result for extensions of braided tensor \(C^*\)-categories derived from compact matrix quantum groups
- Ergodic actions of compact groups on operator algebras. I: General theory
- Equivariant Poincaré duality for quantum group actions
- Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
- A duality theorem for ergodic actions of compact quantum groups on \(C^*\)-algebras
- On the dual object of a compact connected group
- Compact matrix pseudogroups
- Random walks on discrete groups: Boundary and entropy
- Fibre functors of finite dimensional comodules
- Some properties of finite-dimensional semisimple Hopf algebras
- Finite dimensional approximation of pairs of algebras and obstructions for the index
- Injectivity and operator spaces
- Quantum \(\text{SL}(3,\mathbb{C})\)'s with classical representation theory
- Classification of amenable subfactors of type II
- Discrete quantum groups
- Categorical duality for Yetter-Drinfeld algebras
- Twisting the \(q\)-deformations of compact semisimple Lie groups
- A characterization of right coideals of quotient type and its application to classification of Poisson boundaries
- Tannaka-Krein duality for compact quantum homogeneous spaces. I. General theory
- ON SECOND COHOMOLOGY OF DUALS OF COMPACT GROUPS
- THE REPRESENTATION CATEGORY OF THE WORONOWICZ QUANTUM GROUP SμU(d) AS A BRAIDED TENSOR C*-CATEGORY
- Duality theory for nonergodic actions
- AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY
- Tensor Structures Arising from Affine Lie Algebras. IV
- Turning monoidal categories into strict ones
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