Remarks on rational solutions of Yang-Baxter equations

被引:2
|
作者
Henrich, Thilo [1 ]
机构
[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany
关键词
D O I
10.1088/1742-6596/346/1/012007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, we study unitary rational solutions of the associative Yang-Baxter equation with three spectral parameters. We explain how such solutions arise from the geometry of vector bundles on a cuspidal cubic curve. Moreover, we investigate how these solutions are related to the quantum and classical Yang-Baxter equations.
引用
收藏
页数:15
相关论文
共 50 条
  • [31] A family of solutions of the Yang-Baxter equation
    Bachiller, David
    Cedo, Ferran
    JOURNAL OF ALGEBRA, 2014, 412 : 218 - 229
  • [32] MULTIPARAMETER SOLUTIONS OF THE YANG-BAXTER EQUATION
    FEI, SM
    GUO, HY
    SHI, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (09): : 2711 - 2720
  • [33] UNUSUAL SOLUTIONS TO THE YANG-BAXTER EQUATION
    HLAVATY, L
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (07): : 1661 - 1667
  • [34] Nonstandard solutions of the Yang-Baxter equation
    Giaquinto, A
    Hodges, TJ
    LETTERS IN MATHEMATICAL PHYSICS, 1998, 44 (01) : 67 - 75
  • [35] Multipermutation Solutions of the Yang-Baxter Equation
    Gateva-Ivanova, Tatiana
    Cameron, Peter
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 309 (03) : 583 - 621
  • [36] On twisting solutions to the Yang-Baxter equation
    Kulish, PP
    Mudrov, AI
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2000, 50 (01) : 115 - 122
  • [37] Stochasticization of Solutions to the Yang-Baxter Equation
    Aggarwal, Amol
    Borodin, Alexei
    Bufetov, Alexey
    ANNALES HENRI POINCARE, 2019, 20 (08): : 2495 - 2554
  • [38] NEW QUANTUM ALGEBRA ASSOCIATED WITH THE EXOTIC SOLUTIONS OF YANG-BAXTER EQUATIONS FOR AN
    GE, ML
    LIU, GC
    KANG, X
    MODERN PHYSICS LETTERS A, 1991, 6 (13) : 1173 - 1176
  • [39] Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups
    Catino, Francesco
    Mazzotta, Marzia
    Stefanelli, Paola
    SEMIGROUP FORUM, 2020, 101 (02) : 259 - 284
  • [40] Rational solutions of the classical Yang-Baxter equation and quasi Frobenius Lie algebras
    Stolin, A
    JOURNAL OF PURE AND APPLIED ALGEBRA, 1999, 137 (03) : 285 - 293