The AKS theorem, A.C.I. systems and random matrix theory

Mark Adler, Pierre van Moerbeke
2018 Journal of Physics A: Mathematical and Theoretical  
This paper gives the most general form of the Adler-Kostant-Symes Theorem, and many applications of it, both finite and infinite dimensional, the former yielding algebraic completely integrable (a.c.i.) systems, and the latter examples in random matrix theory.
doi:10.1088/1751-8121/aad82d fatcat:5huu4ofzenbcvg73sa2mqc7hhu