This is the Atlas of Reductive Lie Groups Software Package version 0.2.3.
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empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: components
there is a unique real form: sl(3,R)
group is connected
real: cartan
Name an output file (hit return for stdout):
Cartan #0:
split: 0; compact: 0; complex: 1
twisted involution orbit size: 3
imaginary root system: A1
real root system is empty
complex factor is empty
real form #0: [0] (1)
Cartan #1:
split: 2; compact: 0; complex: 0
twisted involution orbit size: 1
imaginary root system is empty
real root system: A2
complex factor is empty
real form #0: [0] (1)