Flat matrix models for quantum permutation groups

DOI10.1016/j.aam.2016.09.001zbMath1376.16028arXiv1602.04456OpenAlexW2964006984MaRDI QIDQ343831

Ion Nechita, Teodor Banica

Publication date: 29 November 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04456

zbMATH Keywords

matrix modelquantum permutation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Free probability and free operator algebras (46L54) Hopf algebras and their applications (16T05)

Related Items (12)

Modeling questions for quantum permutations ⋮ Models of quantum permutations ⋮ Sinkhorn Algorithm for Quantum Permutation Groups ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Quantum permutation matrices ⋮ Tracing the orbitals of the quantum permutation group ⋮ Thoma type results for discrete quantum groups ⋮ On bipartite unitary matrices generating subalgebra-preserving quantum operations ⋮ Higher transitive quantum groups: theory and models ⋮ Complex Hadamard matrices with noncommutative entries ⋮ Topological generation and matrix models for quantum reflection groups ⋮ Quasi-flat representations of uniform groups and quantum groups

Cites Work

• Unnamed Item
• Quotients and Hopf images of a smash coproduct.
• Residually finite quantum group algebras
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Integration over the Pauli quantum group
• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Quantum symmetry groups of finite spaces
• Increasing subsequences and the classical groups
• Concerning nonnegative matrices and doubly stochastic matrices
• Idempotent States and the Inner Linearity Property
• The Connes embedding property for quantum group von Neumann algebras
• Quantum automorphisms of twisted group algebras and free hypergeometric laws
• Free Random Variables
• Random Walk Questions for Linear Quantum Groups
• Quantum groups acting on 4 points
• Asymptotic behavior of group integrals in the limit of infinite rank
• On the Eigenvalues of Random Matrices
• HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS
• A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
• Two Subspaces

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