arXiv:nlin/0612003 · Symmetry Integrability and Geometry Methods and Applications

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

Sergey E. Derkachov

Published Dec 2, 2006• 37 citations

Abstract

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 identified with the Baxter operators for the noncompact SL(N, C) spin magnet.

DOI: 10.3842/sigma.2006.084

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