THE 2-PARAMETER DEFORMATION OF GL(2), ITS DIFFERENTIAL-CALCULUS, AND LIE-ALGEBRA

被引:153
作者
SCHIRRMACHER, A
WESS, J
ZUMINO, B
机构
[1] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720
[2] CERN,CH-1211 GENEVA 23,SWITZERLAND
来源
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1991年 / 49卷 / 02期
关键词
D O I
10.1007/BF01555507
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The Yang-Baxter equation is solved in two dimensions giving rise to a two-parameter deformation of GL(2). The transformation properties of quantum planes are briefly discussed. Non-central determinant and inverse are constructed. A right-invariant differential calculus is presented and the role of the different deformation parameters investigated. While the corresponding Lie algebra relations are simply deformed, the comultiplication exhibits both quantization parameters.
引用
收藏
页码:317 / 324
页数:8
相关论文
共 14 条
  • [1] DRINFELD VG, 1986, P INT C MATH BERKELE, V1, P798
  • [2] FADDEEV LD, 1987, QUANTISATION LIE GRO
  • [3] INTRODUCTION TO THE YANG-BAXTER EQUATION
    JIMBO, M
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (15): : 3759 - 3777
  • [4] KOBYZEV Y, COMMUNICATION
  • [5] Manin Y., 1988, QUANTUM GROUPS NONCO
  • [6] MANIN YI, 1989, COMMUN MATH PHYS, V123, P169
  • [7] SCHIRRMACHER A, 1990, THESIS HAMBURG
  • [8] SCHIRRMACHER A, UNPUB Z PHYS C
  • [9] SCHMIDKE WB, IN PRESS Z PHYS C
  • [10] SUDBURY A, 1990, CONSISTENT MULTIPARA