Long bialgebras, dimodule algebras and quantum Yang-Baxter modules over Long bialgebras

被引:7
|
作者
Zhang, Liang Yun [1 ]
机构
[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210008, Peoples R China
基金
美国国家科学基金会; 中国国家自然科学基金;
关键词
Long bialgebra; dimodule algebra; braided product; quantum Yang-Baxter module;
D O I
10.1007/s10114-005-0683-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quantum Yang-Baxter modules over Long bialgebras.
引用
收藏
页码:1261 / 1270
页数:10
相关论文
共 50 条
  • [41] Rota-Baxter systems, dendriform algebras and covariant bialgebras
    Brzezinski, Tomasz
    JOURNAL OF ALGEBRA, 2016, 460 : 1 - 25
  • [42] Some remarks on Yang-Baxter algebras
    Truong, TT
    EUROPEAN PHYSICAL JOURNAL B, 1998, 5 (03): : 697 - 703
  • [43] Yang-Baxter equation in median algebras
    Oner, Tahsin
    Katican, Tugce
    Saeid, Arsham Borumand
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (01) : 79 - 95
  • [44] Poisson algebras and Yang-Baxter equations
    Schedler, Travis
    ADVANCES IN QUANTUM COMPUTATION, 2009, 482 : 91 - 106
  • [45] Double Product Integrals and Enriquez Quantisation of Lie Bialgebras II: The Quantum Yang–Baxter Equation
    R. L. Hudson
    S. Pulmannová
    Letters in Mathematical Physics, 2005, 72 : 211 - 224
  • [46] Some remarks on Yang-Baxter algebras
    T.T. Truong
    The European Physical Journal B - Condensed Matter and Complex Systems, 1998, 5 : 697 - 703
  • [47] On the category of modules over some semisimple bialgebras
    V. A. Artamonov
    R. B. Mukhatov
    R. Wisbauer
    Arabian Journal of Mathematics, 2012, 1 (1) : 29 - 38
  • [48] Quantum Yang-Baxter Equation, Braided Semigroups, and Dynamical Yang-Baxter Maps
    Matsumoto, Diogo Kendy
    Shibukawa, Youichi
    TOKYO JOURNAL OF MATHEMATICS, 2015, 38 (01) : 227 - 237
  • [49] On the category of modules over some semisimple bialgebras
    Artamonov, V. A.
    Mukhatov, R. B.
    Wisbauer, R.
    ARABIAN JOURNAL OF MATHEMATICS, 2012, 1 (01) : 29 - 38
  • [50] 5 Yetter-Drinfeld modules and the quantum Yang-Baxter equation
    不详
    FROBENIUS AND SEPARABLE FUNCTORS FOR GENERALIZED MODULE CATEGORIES AND NONLINEAR EQUATIONS, 2002, 1787 : 217 - 243