On the solutions of Knizhnik-Zamolodchikov system

• Autorzy: Lev Sakhnovich
• Języki publikacji: EN

Abstrakty

EN

We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions. We prove that under some conditions the solution of the KZ system is rational too. We give the method of constructing the corresponding rational solution. We deduce the asymptotic formulas for the solution of the KZ system when the parameter ρ is an integer.

Słowa kluczowe

EN

Symmetric group; Natural representation; Linear differential system; Rational fundamental solution

Kategorie tematyczne

• 34M05: Entire and meromorphic solutions
• 47B38: Operators on function spaces (general)
• 34M55: Painlev\'e and other special equations; classification, hierarchies;

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 1
• Strony: 145-162

Daty

wydano

2009-03-01

online

2009-01-10

Twórcy

autor

Lev Sakhnovich

Bibliografia

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• [8] Sakhnovich L.A., Explicit rational solutions of Knizhnik-Zamolodchikov equation, Cent. Eur. J. Math., 2008, 6, 179–187 http://dx.doi.org/10.2478/s11533-008-0013-0[Crossref]
• [9] Sakhnovich L.A., Rational solutions of KZ equation, Existence and construction, preprint available at arXiv.math:- ph/0609067
• [10] Sakhnovich L.A., Rational solutions of KZ equation, Case S4, preprint available at arXiv:math.CA/0702404
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Identyfikatory

DOI

10.2478/s11533-008-0059-z