Representations of sl(n,\({\mathbb{C}})\) and the Toda lattice
This work builds on that of Adler and Moerbeke and shows that the linearization procedure for the flows of the periodic Toda lattice is independent of the representation of sl(n,\({\mathbb{C}})\). It also generalizes a key result in the work of van Moerbeke and Mumford and makes it applicable to an arbitrary Lax pair. The periodic Toda lattice is treated in detail. The paper ends with a very detailed discussion of two curves associated to sl(4). It would be very interesting to extend these results to arbitrary semi-simple Lie algebras.
scientific article; zbMATH DE number 4052630