Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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).

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