New constructions of Yang-Baxter systems

被引:0
|
作者
Nichita, Florin F. [1 ,2 ]
Parashar, Deepak [3 ,4 ]
机构
[1] Simion Stoilow Romanian Acad, Inst Math, POB 1-764, RO-014700 Bucharest, Romania
[2] Amer Univ Kuwait, Coll Arts & Sci, Safat 13034, Kuwait
[3] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
[4] Max Planck Inst Math, D-53111 Bonn, Germany
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The quantum Yang-Baxter equation admits generalisations to systems of Yang-Baxter type equations called Yang-Baxter systems. Starting from algebra structures, we propose new constructions of some constant as well as the spectral-parameter dependent Yang-Baxter systems. Besides, we also present explicitly the commutation algebra structure associated to the constant type in dimension two.
引用
收藏
页码:193 / +
页数:3
相关论文
共 50 条
  • [11] New Elliptic Solutions of the Yang-Baxter Equation
    Chicherin, D.
    Derkachov, S. E.
    Spiridonov, V. P.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 345 (02) : 507 - 543
  • [12] NEW SOLUTIONS OF THE YANG-BAXTER EQUATION AND THEIR YANG-BAXTERIZATION
    COUTURE, M
    CHENG, Y
    GE, ML
    XUE, K
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (04): : 559 - 576
  • [13] SOME NEW SOLUTIONS OF THE YANG-BAXTER EQUATION
    OKUBO, S
    PHYSICS LETTERS A, 1995, 198 (01) : 39 - 42
  • [14] Yang-Baxter Systems, Algebra Factorizations and Braided Categories
    Nichita, Florin F.
    AXIOMS, 2013, 2 (03): : 437 - 442
  • [15] Enhancement of the Quantum Parameter Estimation in Yang-Baxter Systems
    Durgun Duran
    International Journal of Theoretical Physics, 2020, 59 : 2091 - 2100
  • [16] The sudden death of entanglement in constructed Yang-Baxter systems
    Hu, Taotao
    Sun, Chunfang
    Xue, Kang
    QUANTUM INFORMATION PROCESSING, 2010, 9 (01) : 27 - 35
  • [17] ALGEBRA STRUCTURES ARISING FROM YANG-BAXTER SYSTEMS
    Berceanu, Barbu R.
    Nichita, Florin F.
    Popescu, Calin
    COMMUNICATIONS IN ALGEBRA, 2013, 41 (12) : 4442 - 4452
  • [18] INVOLUTIVE YANG-BAXTER GROUPS
    Cedo, Ferran
    Jespers, Eric
    Del Rio, Angel
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (05) : 2541 - 2558
  • [19] Dynamical Yang-Baxter maps
    Shibukawa, Y
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2005, 2005 (36) : 2199 - 2221
  • [20] THE YANG-BAXTER AND PENTAGON EQUATION
    VANDAELE, A
    VANKEER, S
    COMPOSITIO MATHEMATICA, 1994, 91 (02) : 201 - 221