Comodule algebras and integrable systems
classification
🧮 math-ph
math.MPnlin.SI
keywords
comodulealgebraalgebrasintegrableclassicalquantumsystemscompletely
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A method to construct both classical and quantum completely integrable systems from (Jordan-Lie) comodule algebras is introduced. Several integrable models based on a so(2,1) comodule algebra, two non-standard Schrodinger comodule algebras, the (classical and quantum) q-oscillator algebra and the Reflection Equation algebra are explicitly obtained.
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