
Various aspects of recent works on affine quantum group symmetry of integrable 2d quantum field theory are reviewed and further clarified. A geometrical meaning is given to the quantum double, and other properties of quantum groups. Multiplicative presentations of the Yangian double are analyzed.
43 pages
\(S\)-matrix, High Energy Physics - Theory, affine quantum group, quantum double, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), universal \(R\)-matrix, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Yangian double
\(S\)-matrix, High Energy Physics - Theory, affine quantum group, quantum double, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), universal \(R\)-matrix, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Yangian double
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