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.