Modified real structures for quantum groups and applications
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Publication:4701548
DOI10.1063/1.532620zbMath0986.81045OpenAlexW2010454195MaRDI QIDQ4701548
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532620
quantum groupquantum Hall effectquantum deformationLandau theoryquasitriangular Hopf algebraanisotropic Heisenberg chaintwo-dimensional electrons
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
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Cites Work
- Unitary representations of the quantum group \(\text{SU}_q(1,1)\): structure of the dual space of \({\mathcal U}_q(\mathfrak{sl}(2))\)
- Hecke algebra representations of braid groups and link polynomials
- Fusion rules of \(U_ q(sl(2,\mathbb{C})),q^ m=1\)
- Real forms of \({\mathcal U}_ q({\mathfrak g})\)
- Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem
- Invariants of 3-manifolds via link polynomials and quantum groups
- Multiparameter quantum groups and twisted quasitriangular Hopf algebras
- QUANTUM GROUP SYMMETRY AND QUANTUM HALL WAVE FUNCTIONS ON A TORUS
- THE QUANTUM ALGEBRAIC STRUCTURE OF THE TWISTED XXZ CHAIN
- AREA-PRESERVING DIFFEOMORPHISMS, W∞ AND ${\mathcal U}_q [{\rm sl}(2)$ IN CHERN–SIMONS THEORY AND THE QUANTUM HALL SYSTEM]
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- Topological order in quantum Hall effect and two-dimensional conformal field theory
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