Q-DEFORMED POINCARE ALGEBRA

被引:177
作者
OGIEVETSKY, O
SCHMIDKE, WB
WESS, J
ZUMINO, B
机构
[1] LAWRENCE BERKELEY LAB,DEPT PHYS,THEORET PHYS GRP,BERKELEY,CA 94720
[2] UNIV MUNICH,PHYS SECT,W-8000 MUNICH 2,GERMANY
[3] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720
关键词
D O I
10.1007/BF02096958
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The q-differential calculus for the q-Minkowski space is developed. The algebra of the q-derivatives with the q-Lorentz generators is found giving the q-deformation of the, Poincare algebra. The reality structure of the q-Poincare algebra is given. The reality structure of the q-differentials is also found. The real Laplacian is constructed. Finally the comultiplication, counit and antipode for the q-Poincare algebra are obtained making it a Hopf algebra.
引用
收藏
页码:495 / 518
页数:24
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