Symmetric structure of field algebra of G-spin models determined by a normal subgroup

DOI10.1063/1.4896327zbMath1442.81056arXiv1505.06051OpenAlexW2057738834MaRDI QIDQ2924876

Lining Jiang, Qiaoling Xin

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06051

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of group representations to physics and other areas of science (20C35)

Related Items (3)

The field algebra in Hopf spin models determined by a Hopf \(\ast\)-subalgebra and its symmetric structure ⋮ C^∗‐index of observable algebra in the field algebra determined by a normal group ⋮ The quantum symmetry in nonbalanced Hopf spin models determined by a normal coideal subalgebra

Cites Work

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• Quantum symmetry and braid group statistics in \(G\)-spin models
• Quantum chains of Hopf algebras with quantum double cosymmetry
• \(C^*\)-index of observable algebras in \(G\)-spin model
• Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation
• Towards a quantum Galois theory for quantum double algebras of finite groups

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