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

被引：154
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.
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收藏
页码：317 / 324
页数：8
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