So(8) (Paperback)

High Quality Content by WIKIPEDIA articles In mathematics, SO(8) is the special orthogonal group acting on eight-dimensional Euclidean space. It could be either a real or complex simple Lie group of rank 4 and dimension 28.Like all special orthogonal groups of n > 2, SO(8) is not simply connected, having a fundamental group isomorphic to Z2. The universal cover of SO(8) is the spin group Spin(8).The center of SO(8) is Z2, the diagonal matrices {pm I}, (as for all SO(2n) for 2n > 2), while the center of Spin(8) is Z2xZ2 (as for all Spin(4n), 4n > 0).