Atlas of Lie Groups and Representations..  
The Atlas of Lie Groups and Representations is a project to make available information about representations of reductive Lie groups over real and padic fields. Of particular importance is the problem of the unitary dual: classifying all of the irreducible unitary representations of a given Lie group. The Atlas consists in part of a project to compute the unitary dual, by mathematical and computational methods. We are also planning to make information about Lie groups and representation theory, in particular unitary representations, available to the general mathematical public. You may have heard about our computation KazhdanLusztig polynomials for the split real group E_{8}. Here are some details of the calculation, and David Vogan has written a narrative of the project. There is an introduction to the calculation at AIM. For more information on the E_{8} calculation there are some slides of talks available in the talks section. Also see David Vogan's home page, and here are some more technical details on what we really did.
