Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
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Publication:4790315
DOI10.1002/CPA.10042zbMATH Open1033.34089arXivmath-ph/0111007OpenAlexW2148617039MaRDI QIDQ4790315
Author name not available (Why is that?)
Publication date: 28 January 2003
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/math-ph/0111007
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