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- Quantum_affine_algebra abstract "In mathematics, a quantum affine algebra (or affine quantum group) is a Hopf algebra that is a q-deformation of the universal enveloping algebra of an affine Lie algebra. They were introduced independently by Drinfeld (1985) and Jimbo (1985) as a special case of their general construction of a quantum group from a Cartan matrix. One of their principal applications has been to the theory of solvable lattice models in quantum statistical mechanics, where the Yang-Baxter equation occurs with a spectral parameter. Combinatorial aspects of the representation theory of quantum affine algebras can be described simply using crystal bases, which correspond to the degenerate case when the deformation parameter q vanishes and the Hamiltonian of the associated lattice model can be explicitly diagonalized.".
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- Quantum_affine_algebra subject Category:Exactly_solvable_models.
- Quantum_affine_algebra subject Category:Mathematical_quantization.
- Quantum_affine_algebra subject Category:Quantum_groups.
- Quantum_affine_algebra subject Category:Representation_theory.
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- Quantum_affine_algebra comment "In mathematics, a quantum affine algebra (or affine quantum group) is a Hopf algebra that is a q-deformation of the universal enveloping algebra of an affine Lie algebra. They were introduced independently by Drinfeld (1985) and Jimbo (1985) as a special case of their general construction of a quantum group from a Cartan matrix.".
- Quantum_affine_algebra label "Quantum affine algebra".
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