DIFFERENTIAL GEOMETRY OF THE QUANTUM SUPERGROUP GLQ(1/1)

被引:49
作者
SCHMIDKE, WB [1 ]
VOKOS, SP [1 ]
ZUMINO, B [1 ]
机构
[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720
来源
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1990年 / 48卷 / 02期
关键词
D O I
10.1007/BF01554473
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
We construct a right-invariant differential calculus on the quantum supergroup GLq(1/1) and we show that the quantum Lie algebra generators satisfy the undeformed Lie superalgebra. The deformation becomes apparent when one studies the comultiplication for these generators. We bring the algebra into the standard Drinfeld-Jimbo form by performing a suitable change of variables, and we check the consistency of the map with the induced comultiplication. © 1990 Springer-Verlag.
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页码:249 / 255
页数:7
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