

The Atlas of Lie Groups and
Representations is a project to make available information about
representations of reductive Lie groups.
Of particular importance is the problem of the unitary dual:
classifying all of the irreducible unitary representations of a given Lie group.
The Atlas software, which is freely available, can be used to
do computations in Lie theory, from basic structure through computing
unitary representations. Here are some references regarding the
mathematical background of the software.
News 
 
Computing Unitary Representations 
Version 1.0 of the Atlas software is now available.
The software can now compute if any irreducible admissible representation of
a real reductive group is unitary. This completes a main goal of the project.
 Atlas Workshop 
A workshop on the Atlas project was held July 1021.
Slides of some
of the talks as is video of every talk, as well as copies of the
computer input/output for some of the talks.
 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 a and PC versions. We recommend
you compile it yourself, but you can try an precompiled binary.

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:
Many notes and preprints related to the project.
Some of these are of interest to the general user, and some
only for experts. Much of the more elementary material can now
be found on the
documentation web site.
Some of the more advanced material is in
the notes from
a series of workshops at AIM

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:


People  who are working on the Atlas project.

You may have heard about our computation
KazhdanLusztig polynomials for the split real group E_{8}.
Here are some details of the
calculation, David Vogan has written a narrative of the project, and here are some more technical details on
what we really did.

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

