Timeline for non-artificial examples of non-smooth and non-admissible representations of GL_2
Current License: CC BY-SA 3.0
4 events
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| Oct 8, 2012 at 13:41 | comment | added | Hugo Chapdelaine | @Francois, I did not see much examples in this book outside admissible representations. After all, their goal is to prove local Langlands correspondence. I would like to have a reference where one can get a feeling of the various types of representations: for example unitary versus non-unitary, continuous versus not strongly continuous, smooth but not admissible. For example if you look at $GL_2(R)$ with the discrete topology, "how many more" representations do you get from looking only at smooth ones. Basically, I want to see various ways of organizing representations of top. groups. | |
| Oct 7, 2012 at 20:37 | comment | added | François Brunault | @Hugo : A nice reference for learning representations of locally profinite groups is Bushnell-Henniart, The local Langlands conjecture for GL(2). | |
| Oct 7, 2012 at 18:52 | comment | added | Hugo Chapdelaine | Thanks Joel for the nice example. Is there a good (recent) reference on representations of topological groups (locally compact is fine with me) which give a good overview of the various "categories" of representations (smooth, admissible etc....)? | |
| Oct 7, 2012 at 14:08 | history | answered | Joël | CC BY-SA 3.0 |