See also symplectic group.
The analog of the unitary group as one passes from the complex numbers to the quaternions.
A Riemannian manifold of dimension is called a quaternion-Kähler manifold if its holonomy group is a subgroup of the quotient group Sp(n).Sp(1) of the direct product group . If it is even a subgroup of just the factor, then it is called a hyperkähler manifold.
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