Invariant integration on classical and quantum Lie supergroups

Details Invariant integration on classical and quantum Lie supergroups Invariant integration on classical and quantum Lie supergroups

1999-11-25

arxiv.org/abs/math/9911200v1

Mathematics

Rings and Algebras

30 pages, no figures, Latex

Scientific paper

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.

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