You can look at rt.representation-theoryrt.representation-theory or automophic-formsautomophic-forms questions on Math Overflow. Here are some that may be relevant:
- Definitions of Hecke AlgebrasDefinitions of Hecke Algebras
- Induction and Coinduction of RepresentationsInduction and Coinduction of Representations
- Where stands functoriality in 2009?Where stands functoriality in 2009?
- A learning roadmap for representation theoryA learning roadmap for representation theory
- Unitary representations of SL_2(R)Unitary representations of SL_2(R)