You can look at **[rt.representation-theory](https://mathoverflow.net/questions/tagged/rt.representation-theory)** or **[automophic-forms](https://mathoverflow.net/questions/tagged/automorphic-forms)** questions on Math Overflow. Here are some that may be relevant:

* [Definitions of Hecke Algebras](https://mathoverflow.net/questions/4547/definitions-of-hecke-algebras)
* [Induction and Coinduction of Representations](https://mathoverflow.net/questions/1534/induction-and-coinduction-of-representations)
* [Where stands functoriality in 2009?](https://mathoverflow.net/questions/1252/where-stands-functoriality-in-2009)
* [A learning roadmap for representation theory](https://mathoverflow.net/questions/2755/a-learning-roadmap-for-representation-theory)
* [Unitary representations of SL_2(R)](https://mathoverflow.net/questions/2875/unitary-representations-of-sl2-r)