Simple proof of the equivalence of the category of Lie supergroups and the category of super-Harish-Chandra pairs
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Speaker:
Elizaveta Vishnyakova
Zugehörigkeit:
Bochum U/MPIM
Datum:
Mon, 15/08/2011 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Topics in Topology It is well known that the category of real, complex analytic or
algebraic Lie supergroups is equivalent to the corresponding category
of the so called super-Harish-Chandra pairs. That means that a Lie
supergroup
depends only on the underlying Lie group and its Lie superalgebra
with certain compatibility conditions. More precisely, the structure sheaf
of a Lie supergroup and the supergroup morphisms can be explicitly described
in terms of the corresponding Lie superalgebra and the underlying Lie group.
In the talk we will give a simple proof of this theorem.
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