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Communications in Mathematical Physics

, Volume 134, Issue 1, pp 65–77 | Cite as

An application of Aomoto-Gelfand hypergeometric functions to theSU(n) Knizhnik-Zamolodchikov equation

  • Atsushi Matsuo
Article

Abstract

Solutions to the Knizhnik-Zamolodchikov equation for Verma modules of the Lie algebra\(\mathfrak{s}\mathfrak{l}(n + 1,\mathbb{C})\) are explicitly given by certain integrals called Aomoto-Gelfand hypergeometric functions.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Atsushi Matsuo
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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