On the representation theory of partition (easy) quantum groups

DOI10.1515/CRELLE-2014-0049zbMath1368.46068arXiv1308.6390OpenAlexW2962894536MaRDI QIDQ334480

Amaury Freslon, Moritz Weber

Publication date: 1 November 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6390

zbMATH Keywords

partitionsrepresentation theorycompact quantum groupliberated quantum groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (20)

Free wreath product quantum groups: the monoidal category, approximation properties and free probability ⋮ Fixed point algebras for easy quantum groups ⋮ New products and \(\mathbb{Z}_2\)-extensions of compact matrix quantum groups ⋮ Traces on diagram algebras. II: Centralizer algebras of easy groups and new variations of the Young graph ⋮ On the partition approach to Schur-Weyl duality and free quantum groups (appendix by A. Chirvasitu) ⋮ The classification of tensor categories of two-colored noncrossing partitions ⋮ Intertwiner spaces of quantum group subrepresentations ⋮ On the representation theory of some noncrossing partition quantum groups ⋮ The fusion rules of some free wreath product quantum groups and applications ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Quantum permutation matrices ⋮ Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees ⋮ Tannaka-Krein reconstruction and ergodic actions of easy quantum groups ⋮ 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 ⋮ On the classification of partition quantum groups ⋮ On two-coloured noncrossing partition quantum groups ⋮ Gluing compact matrix quantum groups ⋮ Free wreath products with amalgamation

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