R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Derkachov, S.É., Manashov, A.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146069
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain / S.É. Derkachov, A.N. Manashov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 39 назв. — англ.

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 Qk(u) which can be ide...