

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 
The latest version of the software is 1.1. It is free and open source and runs on linux/Mac/Windows.
Here are
download and install instruction for the software,
and a summary of features.
 
The Online Seminar on representation theory and the Atlas software is starting on January 6, 2022.
This is an introduction to representations of real groups and the software and will be accessible to a broad audience.
 
There is a Slack Worskspace for discussing the software. Click on this link to join. Use this workspace for questions and discussions about all aspects of the Atlas software.

Here are the main parts of the Atlas web site:
Software:
The atlas software runs on linux, Mac and Windows.
The source code is freely available, and it can also be run using Docker.
See download and install
instructions from the documentation section of the site.

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 section of the 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.

Support for the Atlas project

