Two-parameter quantum groups and quantum planes

被引:0
|
作者
Cho, S
Kang, SJ
Kim, CH
Park, KS
机构
[1] SUN MOON UNIV,DEPT PHYS,CHONAN 330150,SOUTH KOREA
[2] KEIMYUNG UNIV,DEPT MATH,TAEGU 705701,SOUTH KOREA
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Usually the generators of a quantum group are assumed to be commutative with the noncommuting coordinates of a quantum plane. We have relaxed the assumption and investigated its consequences. Not only does a two-parameter quantum group arise naturally, but also the formulation leads us to many probable quantum planes associated with a quantum group. Several examples are presented.
引用
收藏
页码:279 / 283
页数:5
相关论文
共 50 条
  • [1] On the centre of two-parameter quantum groups
    Benkart, G
    Kang, SJ
    Lee, KH
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 445 - 472
  • [2] Squeezed states and two-parameter quantum groups
    Sahai, V
    Johal, RS
    Gupta, RK
    MODERN PHYSICS LETTERS A, 1998, 13 (11) : 887 - 891
  • [3] NOTES ON TWO-PARAMETER QUANTUM GROUPS, (II)
    Hu, Naihong
    Pei, Yufeng
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (09) : 3202 - 3220
  • [4] Two-parameter families of quantum symmetry groups
    Banica, Teodor
    Skalski, Adam
    JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (11) : 3252 - 3282
  • [5] Two-parameter quantum groups and Drinfel'd doubles
    Benkart, G
    Witherspoon, S
    ALGEBRAS AND REPRESENTATION THEORY, 2004, 7 (03) : 261 - 286
  • [6] Two-Parameter Quantum Groups and Drinfel'd Doubles
    Georgia Benkart
    Sarah Witherspoon
    Algebras and Representation Theory, 2004, 7 : 261 - 286
  • [7] Two-parameter quantum groups with noncanonical commutation relations
    Brodimas, G.
    Jannussis, A.
    Mignani, R.
    Annales de la Fondation Louis de Broglie, 1994, 19 (1-2):
  • [8] On the two-parameter quantum supergroups and quantum superplanes
    Tahri, EH
    El Hassouni, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (08): : 2065 - 2074
  • [9] Harish-Chandra theorem for two-parameter quantum groups
    Hu, Naihong
    Wang, Hengyi
    FORUM MATHEMATICUM, 2025,
  • [10] Two-parameter quantum de Rham cohomology over two-parameter quantum divided power algebra
    Feng, Ge
    Hu, Naihong
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025,