The classification of tensor categories of two-colored noncrossing partitions

DOI10.1016/j.jcta.2017.09.003zbMath1373.05021arXiv1509.00988OpenAlexW2964276426MaRDI QIDQ1679337

Moritz Weber, Pierre Tarrago

Publication date: 9 November 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00988

zbMATH Keywords

noncrossing partitionstensor categoryeasy quantum groupsBanica-Speicher quantum groupscategory of partitions

Mathematics Subject Classification ID

Partitions of sets (05A18) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (21)

RIESZ TRANSFORMS ON COMPACT QUANTUM GROUPS AND STRONG SOLIDITY ⋮ Fixed point algebras for easy quantum groups ⋮ New products and \(\mathbb{Z}_2\)-extensions of compact matrix quantum groups ⋮ Liberation theory for noncommutative homogeneous spaces ⋮ Models of quantum permutations ⋮ On the partition approach to Schur-Weyl duality and free quantum groups (appendix by A. Chirvasitu) ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Unitary easy quantum groups: geometric aspects ⋮ Mini-workshop: Operator algebraic quantum groups. Abstracts from the mini-workshop held October 6--12, 2019 ⋮ Categories of two-colored pair partitions. Part II: Categories indexed by semigroups ⋮ Non-hyperoctahedral categories of two-colored partitions. II: All possible parameter values ⋮ Non-hyperoctahedral categories of two-colored partitions. I: New categories ⋮ Categories of two-colored pair partitions. I: Categories indexed by cyclic groups ⋮ Partition quantum spaces ⋮ The intertwiner spaces of non-easy group-theoretical quantum groups ⋮ Homogeneous quantum groups and their easiness level ⋮ On the classification of partition quantum groups ⋮ On two-coloured noncrossing partition quantum groups ⋮ Gluing compact matrix quantum groups ⋮ Classification of globally colorized categories of partitions ⋮ Generating linear categories of partitions

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