Linearization of Hamiltonian systems, Jacobi varieties and representation theory
In the note under review the authors show that all systems discussed in their previous note [Adv. Math. 38, 267--317 (1980; Zbl 0455.58017)] can be linearized according to a general scheme common to all of them, reminiscent of Mumford and van Moerbeke's treatment of the Toda lattice, and prove the independence of the linearization on the representation. The paper also contains a beautiful appendix in which the authors sketch the main concepts and theorems of the theory of correspondence in a style reminiscent of the classic Italian geometers.
scientific article; zbMATH DE number 3712863
scientific article