Invariant integration on classical and quantum Lie supergroups
环与代数
2007-05-23 v1 量子代数
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 super 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.
引用
@article{arxiv.math/9911200,
title = {Invariant integration on classical and quantum Lie supergroups},
author = {M. Scheunert and R. B. Zhang},
journal= {arXiv preprint arXiv:math/9911200},
year = {2007}
}
备注
30 pages, no figures, Latex