Quantum groups: A review
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Publication:1325654
DOI10.1007/BF00979501zbMath0818.17007MaRDI QIDQ1325654
Publication date: 14 August 1995
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
surveydeformationquantum groupsHopf algebrastatistical mechanicsnoncommutative differential geometryinverse scatteringcomultiplicationMcGuire-Yang-Baxter equation
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)
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Cites Work
- Hidden quantum symmetries in rational conformal field theories
- The quantum group structure of 2D gravity and minimal models. I
- Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
- The universal R-matrix for \(U_ qsl(3)\) and beyond!
- Quantum deformation of Lorentz group
- Difference analogs of the harmonic oscillator
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Quantum R matrix for the generalized Toda system
- Compact matrix pseudogroups
- Quantum deformations of certain simple modules over enveloping algebras
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- A q-analog of the Gauss summation theorem for hypergeometric series in U(n)
- Six generator \(q\)-deformed Lorentz algebra
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
- q-deformations of the O(3) symmetric spin-1 Heisenberg chain
- The q-deformed boson realisation of the quantum group SU(n)qand its representations
- The quantum group SUq(2) and a q-analogue of the boson operators
- SPIN NETWORKS AND KNOT POLYNOMIALS
- A polynomial invariant for knots via von Neumann algebras
- Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
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