R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain

The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit form. We construct the commutative family of the operators Q_k(u) which can be id...

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Bibliographic Details
Main Authors: Sergey É. Derkachov, Alexander N. Manashov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper084/