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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

3 votes

reference help indecomposable representations of SL(2,R)

I hope my answer is not a reproduction of Jeffrey Adams answer. (I dont have the book at hand) If I understand you right you want to know the indecomposable Harish-Chandra modules of $SL_2(\mathbb{R} …
Oliver Straser's user avatar
6 votes
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Learning representation theory of real reductive lie groups

First note that there is the book of Vogan (Representation Theory if real reductive groups) which discusses the case of $SL_2(\mathbb{R})$ on a very basic level. I think this is a good start. In my o …