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29 March 2024
 
  » arxiv » math.QA/0301025

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On a class of integrable systems connected with GL(N,RR)
A.Gerasimov ; S.Kharchev ; D.Lebedev ;
Date 3 Dec 2002
Subject Quantum Algebra | math.QA
AbstractIn this paper we define a new class of the quantum integrable systems associated with the quantization of the cotangent bundle $T^*(GL(N))$ to the Lie algebra $frak{gl}_N$. The construction is based on the Gelfand-Zetlin maximal commuting subalgebra in $U(frak{gl}_N)$. We discuss the connection with the other known integrable systems based on $T^*GL(N)$. The construction of the spectral tower associated with the proposed integrable theory is given. This spectral tower appears as a generalization of the standard spectral curve for integrable system.
Source arXiv, math.QA/0301025
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