The combinatorics of an algebraic class of easy quantum groups
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Publication:3190766
DOI10.1142/S0219025714500167zbMath1310.46062arXiv1312.1497MaRDI QIDQ3190766
Publication date: 19 September 2014
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.1497
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Free probability and free operator algebras (46L54) Quantizations, deformations for selfadjoint operator algebras (46L65) Connections of Hopf algebras with combinatorics (16T30)
Related Items (10)
The full classification of orthogonal easy quantum groups ⋮ A duality principle for noncommutative cubes and spheres ⋮ The classification of tensor categories of two-colored noncrossing partitions ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Non-hyperoctahedral categories of two-colored partitions. I: New categories ⋮ Easy quantum groups and quantum subgroups of a semi-direct product quantum group ⋮ Homogeneous quantum groups and their easiness level ⋮ On the classification of partition quantum groups ⋮ Classification of globally colorized categories of partitions ⋮ Group-theoretical graph categories
Cites Work
- Classification results for easy quantum groups
- Liberation of orthogonal Lie groups
- A remark on compact matrix quantum groups
- A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
- Compact matrix pseudogroups
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Quantum symmetry groups of finite spaces
- Free products of compact quantum groups
- On the classification of easy quantum groups
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