JP Journal of Geometry and Topology
Volume 8, Issue 1, Pages 61 - 71
(March 2008)
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INDUCTIVE LIMIT OF REPRESENTATIONS OF CARTAN MOTION GROUPS
Lucien Kouassi Yao (Cote D’Ivoire) and Kinvi Kangni (Cote D’Ivoire)
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be the n-dimensional
Cartan motion group and
be the direct limit of the groups
endowed with the direct limit
topology. Champetier and Delorme [5] have obtained a characterization of
topologically completely irreducible representation of
The aim of this work is to
construct the inductive limit of irreducible representations of
and to compute an application to
submodules which generalizes some results showed in [5].
