On the quantum L -operator for the two-dimensional lattice Toda model

Author: Bytsko A.  

Publisher: Springer Publishing Company

ISSN: 1072-3374

Source: Journal of Mathematical Sciences, Vol.192, Iss.1, 2013-07, pp. : 50-56

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Abstract

We consider the two-dimensional quantum lattice Toda model for affine and simple Lie algebras of type A. For its known L-operator, the second-order correction in lattice parameter ε is found. It is proved that the equation determining the third-order correction in ε has no solutions. Bibliography: 9 titles.