The AKS Theorem, A.C.I. Systems and Random Matrix Theory
Mathematical Physics
2018-11-16 v2 math.MP
Abstract
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.
Cite
@article{arxiv.1810.03168,
title = {The AKS Theorem, A.C.I. Systems and Random Matrix Theory},
author = {Mark Adler and Pierre van Moerbeke},
journal= {arXiv preprint arXiv:1810.03168},
year = {2018}
}
Comments
Topical Review (special volume 50 years Toda Lattice), with typos corrected and some additional references