Quantum Weyl symmetric polynomials and the center of quantum group Uq(sl4)

被引:0
|
作者
WU JingYan1
2Shijiazhuang Experimental Middle School
机构
基金
中国国家自然科学基金;
关键词
quantized enveloping algebra; quantum group; quantum symmetric polynomials; center;
D O I
暂无
中图分类号
O152.5 [李群];
学科分类号
070104 ;
摘要
Suppose that q is not a root of unity, it is proved in this paper that the center of the quantum group Uq(sl4) is isomorphic to a quotient algebra of polynomial algebra with four variables and one relation.
引用
收藏
页码:55 / 64
页数:10
相关论文
共 50 条
  • [1] Quantum Weyl symmetric polynomials and the center of quantum group Uq(sl4)
    JingYan Wu
    JunChao Wei
    LiBin Li
    Science China Mathematics, 2011, 54 : 55 - 64
  • [2] Quantum Weyl symmetric polynomials and the center of quantum group Uq (sl4)
    Wu JingYan
    Wei JunChao
    Li LiBin
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (01) : 55 - 64
  • [3] Quantum Weyl Polynomials and the Center of the Quantum Group Uq(sl3)
    Li, Libin
    Wu, Jingyan
    Zhu, Meiling
    ALGEBRA COLLOQUIUM, 2012, 19 (03) : 525 - 532
  • [4] THE BOSON REALIZATIONS OF THE QUANTUM GROUP UQ(SL(2))
    BURDIK, C
    NAVRATIL, O
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (23): : L1205 - L1208
  • [5] Algebra. - A Uq(sl(2))-representation with no quantum symmetric algebra
    Rossi-Doria, Olivia
    De Concini, C.
    Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, 10 (01): : 5 - 9
  • [6] Braided vector fields on a quantum hyperboloid via the quantum group Uq(sl(2))
    Dutriaux, Antoine
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (44)
  • [7] The Polynomial Modules over Quantum Group Uq(sl3)
    Xia, Limeng
    Cai, Qianqian
    Zhang, Jiao
    ALGEBRA COLLOQUIUM, 2022, 29 (04) : 663 - 668
  • [8] Projective class ring of a restricted quantum group Uq(sl*2)
    Ji, Pengcheng
    Chen, Jialei
    Gao, Fengxia
    AIMS MATHEMATICS, 2023, 8 (09): : 19933 - 19949
  • [9] Constructing indecomposable representations over quantum group Uq(sl(2))
    Li, LB
    ARCHIV DER MATHEMATIK, 2003, 80 (06) : 578 - 585
  • [10] Revisit on representation theory of quantum group Uq(sl2)
    Xu, Yongjun
    Chen, Jialei
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (01): : 23 - 32