2006/12/02 by S. É. Derkachov, Sergey E. Derkachov, Alexander N. Manashov · 4 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Chemistry #Commutative property #Invariant (physics) #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #R-matrix #Yang–Baxter equation #hep-th #math-ph #math.MP #math.QA #nlin.SI
paper · pdf · doi:10.3842/sigma.2006.084
published as SIGMA 2:084,2006 · This 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/
arxiv created 2006/12/02 · openalex publication_date 2006/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.