ALGEBRAIC QUANTUM PERMUTATION GROUPS

DOI10.1142/S1793557108000023zbMath1170.16028arXiv0710.1521OpenAlexW2963385684MaRDI QIDQ3521572

Julien Bichon

Publication date: 26 August 2008

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1521

zbMATH Keywords

quantum permutation groupsgroup gradingsdiagonal coactionsuniversal cosemisimple Hopf algebras

Mathematics Subject Classification ID

Related Items (19)

Modeling questions for quantum permutations ⋮ The Frucht property in the quantum group setting ⋮ Equivalent notions of normal quantum subgroups, compact quantum groups with properties \(F\) and \(FD\), and other applications ⋮ Finite quantum groups and quantum permutation groups. ⋮ Noncommutative homogeneous spaces: the matrix case ⋮ Quantum permutation matrices ⋮ Tracing the orbitals of the quantum permutation group ⋮ Thoma type results for discrete quantum groups ⋮ Quantum isometries and group dual subgroups ⋮ Quantum Symmetry of Classical Spaces ⋮ Maximal torus theory for compact quantum groups ⋮ Higher orbitals of quizzy quantum group actions ⋮ Higher transitive quantum groups: theory and models ⋮ Homogeneous quantum groups and their easiness level ⋮ Representations of quantum permutation algebras ⋮ Simple compact quantum groups. I ⋮ Quasi-flat representations of uniform groups and quantum groups ⋮ Quantum automorphisms of twisted group algebras and free hypergeometric laws ⋮ Estimates for entries of matrix valued functions of infinite matrices

Cites Work

• Unnamed Item
• Integration over quantum permutation groups
• Compact matrix pseudogroups
• Quantum symmetry groups of finite spaces
• Symmetries of a generic coaction
• Abelian gradings on upper-triangular matrices
• Galois reconstruction of finite quantum groups
• Graphs having no quantum symmetry
• Mesure de haar sur une algebra de hopf et groupes quantiques reels
• Quelques nouvelles déformations du groupe symétrique
• Group Gradings on Matrix Algebras
• FREE PRODUCT FORMULAE FOR QUANTUM PERMUTATION GROUPS

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