This is the Atlas of Reductive Lie Groups Software Package version 0.2.3. Enter "help" if you need assistance. 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)