This is the Atlas of Reductive Lie Groups Software Package version 0.2.3. Enter "help" if you need assistance. empty: empty: type Lie type: A1 elements of finite order in the center of the simply connected group: Z/2 enter kernel generators, one per line (ad for adjoint, ? to abort): ad enter inner class(es): s main: components (weak) real forms are: 0: su(2) 1: sl(2,R) enter your choice: 1 component group is (Z/2)^1 real: cartan Name an output file (hit return for stdout): Cartan #0: split: 0; compact: 1; complex: 0 twisted involution orbit size: 1 imaginary root system: A1 real root system is empty complex factor is empty real form #1: [0] (1) real form #0: [1] (1) Cartan #1: split: 1; compact: 0; complex: 0 twisted involution orbit size: 1 imaginary root system is empty real root system: A1 complex factor is empty real form #1: [0] (1)