Angel Ballesteros, Fabio Musso, Orlando Ragnisco
Published 2009-01-12Version 1
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.
Comments: 17 pages
Journal: J. Phys. A: Math. Gen. 35 (2002) 8197-8211
On the characterization of integrable systems via the Haantjes geometry
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Non-local Poisson structures and applications to the theory of integrable systems
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