Invariant integration on classical and quantum Lie supergroups

被引：10
|
作者：
Scheunert, M
Zhang, RB
机构：
[1] Univ Bonn, Inst Phys, D-53115 Bonn, Germany
[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2001年 / 42卷 / 08期
关键词：
D O I：
10.1063/1.1364689
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Invariant integrals on Hopf superalgebras, in particular, the classical and quantum Lie supergroups, are studied. The uniqueness (up to scalar multiples) of a left integral is proved, and a Z(2)-graded version of Maschke's theorem is discussed. A construction of left integrals is developed for classical and quantum Lie supergroups. Applied to several classes of examples the construction yields the left integrals in explicit form. (C) 2001 American Institute of Physics.
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页码：3871 / 3897
页数：27
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