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Speaker:
Alexander Kosyak
Zugehörigkeit:
Institute of Mathematics of NAS of Ukraine, Kiev/MPIM
Datum:
Die, 12/02/2019 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Seminar on Algebra, Geometry and Physics Almost all harmonic analysis on locally compact groups is based on the existence (and uniqueness)
of the Haar measure. If the group is not locally compact there is no Haar measure on it. The aim
of the talk is to give a systematic development, by example, of noncommutative harmonic
analysis on infinite-dimensional (non-locally compact) matrix groups.
We generalize the notion of regular, quasi-regular and induced representations to arbitrary
infinite-dimensional groups. In order to do so, we replace the non-existing Haar measure on an
infinite-dimensional group by a suitable quasi-invariant measure on an appropriate completion
of the initial group or on the completion of a homogeneous space.
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