On Enriched Categories and Induced Representations

Joshua A. Leslie and Ralph A. Twum

We show that induced representations for a pair of diffeological Lie groups exist, in the form of an indexed colimit in the category of diffeological spaces.

Keywords: diffeology induced representation, diffeological spaces, diffeological categories, diffeological lie groups, Kan extensions, enriched category, indexed limits, indexed colimits

2020 MSC: Primary 18D20; Secondary 22D30

Theory and Applications of Categories, Vol. 39, 2023, No. 25, pp 714-734.

Published 2023-08-23.


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