

Atlas of Lie Groups Software Package
Atlas of Lie Groups Software Package: Examples
Here are some examples to get you started with using the
atlas software. There are also some extensive tables
created by the software.
First of all some structure theory:
 Simplest example: SL(2,R)
 A nonsimply connected group: PGL(2,R)
 A reductive group: GL(2,R)
 A complex group: SL(2,C)
 A real semisimple group not inner to a compact group: SL(3)
 The Weyl groups of the compact Cartans in
SL(2,R) and PGL(2,R)
 Interesting isogenies: Spin(3,1), SO(3,1) and PSO(3,1)
 The real form of E_{6} with maximal
compact subgroup F_{4}
Now some representation theory:
Now some KazhdanLusztig polynomials:
Software Page  Atlas Home Page
