Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel

Let $M$ be the tensor product of finite-dimensional polynomial evaluation Yangian $Y(gl_N)$-modules. Consider the universal difference operator $D = sum_{k=0}^N (-1)^k T_k(u) e^{-kpartial_u}$ whose coefficients $T_k(u): M o M$ are the XXX transfer matrices associated with $M$. We show that the diffe...

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Bibliographic Details
Main Authors: Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/060/

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