On the structure of quantum permutation groups

DOI10.1090/S0002-9939-06-08464-4zbMath1123.16027arXivmath/0411576OpenAlexW1997015078MaRDI QIDQ3419964

Sergiu Moroianu, Teodor Banica

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411576

zbMATH Keywords

Clifford algebrasquantum permutation groupsdiscrete quantum groupsHopf \(C^*\)-algebrasinner faithful representationsmagical biunitary matrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Clifford algebras, spinors (15A66) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (7)

Quantum permutation matrices ⋮ On the magic square \(\mathrm{C}^\ast\)-algebra of size 4 ⋮ Quantum automorphism groups of vertex-transitive graphs of order \(\leq 11\) ⋮ Quantum Symmetry of Classical Spaces ⋮ Integration over the Pauli quantum group ⋮ HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS ⋮ Kirchberg's factorization property for discrete quantum groups

Cites Work

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• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Hopf algebras and subfactors associated to vertex models
• Quantum symmetry groups of finite spaces
• Symmetries of a generic coaction
• Quantum automorphism groups of homogeneous graphs
• Free Random Variables
• Locally compact quantum groups in the von Neumann algebraic setting
• Strictly Outer Actions of Groups and Quantum Groups
• Quantum automorphism groups of finite graphs

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