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

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dc.creatorDerkachov, Sergey E.
dc.creatorManashov, Alexander N.
dc.date2006-12-02
dc.date.accessioned2026-07-07T12:20:32Z
dc.date.available2026-07-07T12:20:32Z
dc.descriptionThe problem of constructing the $SL(N,\mathbb{C})$ invariant solutions to the Yang-Baxter equation is considered. The solutions ($\mathcal{R}$-operators) for arbitrarily principal series representations of $SL(N,\mathbb{C})$ are obtained in an explicit form. We construct the commutative family of the operators $\mathcal{Q}_k(u)$ which can be identified with the Baxter operators for the noncompact $SL(N,\mathbb{C})$ spin magnet.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0612003
dc.identifierhttp://arxiv.org/abs/nlin/0612003
dc.identifierSIGMA 2:084,2006
dc.identifierdoi:10.3842/SIGMA.2006.084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213092
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleR-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
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