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

Mark Adler; Pierre van Moerbeke

doi:10.1088/1751-8121/aad82d

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

Journal article

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

Mark Adler and Pierre van Moerbeke

Journal of physics. A, Mathematical and theoretical, Vol.51(42), p.423001

10/19/2018

DOI: https://doi.org/10.1088/1751-8121/aad82d

Abstract

algebraic integrability

integrability

Lax pairs

random matrix theory

Virasoro constraints

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.

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Title: The AKS theorem, A.C.I. systems and random matrix theory; The AKS theorem, A.C.I. systems and random matrix theory
Creators: Mark Adler - Brandeis University, Department of Mathematics
Pierre van Moerbeke - Brandeis University, Department of Mathematics
Publication Details: Journal of physics. A, Mathematical and theoretical, Vol.51(42), p.423001
Publisher: IOP Publishing
Number of pages: 47
Grant note: 27891; 280945 / Simons Foundation (https://doi.org/10.13039/100000893)
Identifiers: 9924117691001921
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

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

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