compact Lie group
Lie group which is also a compact manifold
orthogonal group
mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
unitary group
group of unitary matrices
spin group
mathematical group which is the double cover of the special orthogonal group SO(n)
special unitary group
group of unitary matrices with determinant of 1
complex unit circle
set of complex numbers whose absolute value is equal 1; Lie group of complex numbers of unit modulus; topologically a circle
special orthogonal group
connected component of O(n) containing the identity