

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.
News 
 
Computing Unitary Representations 
The Atlas software can now compute if any irreducible admissible representation of
a real reductive group is unitary. This completes a main goal of the project.
Version 1.0 of the software will be released soon.
 Atlas Workshop 
There will be a workshop on the Atlas project at the University of Utah, July 1021.
Some funding is available. More details will be provided soon.
 Atlas Documentation 
The new documentation web site is now available.
It has help installing and running the software, and explanations and examples
of many atlas commands. (More information is being added all the time.)

Twitter  The Atlas project has a Twitter feed.
Follow us @atlas_liegroups to get (infrequent) announcements about the software 

Here are the main parts of the Atlas web site:
Software:
The atlas software comes in linux and Mac versions. We recommend
you compile it yourself, but you can try an precompiled binary.
There is also a windows version.

Web interface to the
atlas software. Development of the interface is running considerably
behind
the software itself, but we are currently working on a greatly improved
version.

Papers:

Talks:
Slides from various public lectures,
including David Vogan's lecture announcing the E_{8} calculation, March 19, 2007

Workshops

Spherical Unitary Explorer:
an interactive tool for learning about spherical unitary
representations of classical groups

Root Systems:
A tool for viewing information about root systems (used with the
Spherical Unitary Explorer)

Tables of data
computed using the Atlas and associated software:
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.
People who are working on the Atlas project.

This work is supported by the NSF.
For more information see the acknowledgements.

