
Keywords: primary; 17B20; secondary; 14L30; 14M15; 17B08; 17B22; Semisimple Lie algebra; Cartan subalgebra; Root; Root system; Borel subalgebra; Pair of Lie algebras; Kostant pair; Normalizer; Self-normalizing subalgebra; Nilpotent element; Distinguished nilpotent