4 citations · 16 across the 7 of their papers we have counts for
6 papers · 1 filter
The complete integrability of a Lie-Poisson system proposed by Bloch and Iserles
Carlos Tomei, Luen-Chau Li
We establish the Liouville integrability of the differential equation recently considered by Bloch and Iserles. Here, is a real, fixed, skew-symmetric…
Some Remarks on CMV Matrices and Dressing Orbits
Luen-Chau Li
The CMV matrices are the unitary analogs of Jacobi matrices. In the finite case, it is well-known that the set of Jacobi matrices with a fixed trace is nothing but a coadjoint orbi…
Classical -Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras
Luen-Chau Li
Given a classical -matrix on a Poisson algebra, we show how to construct a natural family of compatible Poisson structures for the Hamiltonian formulation of Lax equations. Exam…
Coboundary dynamical Poisson groupoids and integrable systems
Luen-Chau Li
In this paper, we present a general scheme to construct integrable systems based on realization in the coboundary dynamical Poisson groupoids of Etingof and Varchenko. We also pres…
Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models
Luen-Chau Li
We develop a general scheme to construct integrable systems starting from realizations in symmetric coboundary dynamical Lie algebroids and symmetric coboundary Poisson groupoids.…
A Class of integrable Spin Calogero-Moser systems II: Exact Solvability
Luen-Chau Li
In a previous paper, we introduce a class of integrable spin Calogero-Moser systems associated with the classical dynamical r-matrices with spectral parameter. Here the main purpos…