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Automorphisms of sl(2) and classical integrable systems
Institution:1. Department of Mathematics, Soochow University, Suzhou 215006, PR China;2. School of Mathematics, Tianjin University, Tianjin 300350, PR China;1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, PR China;2. Department of Mathematics and Statistics, York University, Toronto, M3J 1P3, Canada
Abstract:Outer automorphisms of infinite-dimensional representations of the sl(2) algebra are applied to produce some classical integrable systems with continuous and discrete time. The associated Lax pairs and r-matrix algebras are constructed.
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