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QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
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1990
Year
Quantum ScienceThe Yang-baxter EquationQuantum GroupsRepresentation TheoryPhysicsQuantum ComputingQuantum OspEngineeringQuantum Field TheoryVector RepresentationsQuantum AlgebraEducationQuantum TheoryQuantum GroupGeometric Quantization
A method is developed for systematically constructing trigonometric and rational solutions of the Yang-Baxter equation using the representation theory of quantum supergroups. New quantum R-matrices are obtained by applying the method to the vector representations of quantum osp (1/2) and gl (m/n).