simple Lie group
type of Lie group
Pin group
Lie group, completing a commutative square relating the orthogonal group, special orthogonal group, and spin group
orthogonal group
mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
spin group
mathematical group which is the double cover of the special orthogonal group SO(n)
special orthogonal group
connected component of O(n) containing the identity