Linear connections on the two-parameter quantum plane

被引：9
|
作者：
Georgelin, Y [1 ]
Wallet, JC [1 ]
Masson, T [1 ]
机构：
[1] UNIV PARIS 11,PHYS THEOR & HAUTES ENERGIES LAB,F-91405 ORSAY,FRANCE
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 1996年 / 8卷 / 08期
关键词：
D O I：
10.1142/S0129055X9600038X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply a recently proposed definition of a linear connection in non-commutative geometry based on the natural bimodule structure of the algebra of differential forms to the case of the two-parameter quantum plane. We find that there exists a non-trivial family of linear connections only when the two parameters obey a specific relation.
引用
收藏
页码：1055 / 1060
页数：6
相关论文
共 50 条
  • [1] LINEAR CONNECTIONS ON THE QUANTUM PLANE
    DUBOISVIOLETTE, M
    MADORE, J
    MASSON, T
    MOURAD, J
    LETTERS IN MATHEMATICAL PHYSICS, 1995, 35 (04) : 351 - 358
  • [2] Two-parameter quantum de Rham cohomology over two-parameter quantum divided power algebra
    Feng, Ge
    Hu, Naihong
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025,
  • [3] The two-parameter higher-order differential calculus and curvature on a quantum plane
    El Baz, M.
    El Hassouni, A.
    Hassouni, Y.
    Zakkari, E. H.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2007, 17 (04) : 651 - 662
  • [4] 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
  • [5] The Two-Parameter Higher-Order Differential Calculus and Curvature on a Quantum Plane
    M. El Baz
    A. El Hassouni
    Y. Hassouni
    E. H. Zakkari
    Advances in Applied Clifford Algebras, 2007, 17 : 651 - 662
  • [6] Two-parameter quantum groups and quantum planes
    Cho, S
    Kang, SJ
    Kim, CH
    Park, KS
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 1996, 29 (03) : 279 - 283
  • [7] 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
  • [8] A New Two-Parameter Estimator in Linear Regression
    Yang, Hu
    Chang, Xinfeng
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, 39 (06) : 923 - 934
  • [9] Two-parameter twisted quantum affine algebras
    Jing, Naihuan
    Zhang, Honglian
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (09)
  • [10] A study on the double crisis vertex in a two-parameter plane
    Hong, L
    Xu, JX
    ACTA PHYSICA SINICA, 2002, 51 (12) : 2694 - 2701
12345