Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory

Details Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory

2001-11-05

arxiv.org/abs/math-ph/0111007v1

Physics

Mathematical Physics

AMSTeX, 62 pages

Scientific paper

The authors show that a wide class of Fredholm determinants arising in the
representation theory of "big" groups such as the infinite-dimensional unitary
group, solve Painleve equations. Their methods are based on the theory of
integrable operators and the theory of Riemann-Hilbert problems.

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