Comodule algebras and integrable systems

Details Comodule algebras and integrable systems Comodule algebras and integrable systems

2009-01-12

arxiv.org/abs/0901.1485v1

J. Phys. A: Math. Gen. 35 (2002) 8197-8211

Physics

Mathematical Physics

17 pages

Scientific paper

10.1088/0305-4470/35/39/305

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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