Geometry and Physics of Sp(3)/Sp(1)^3

B. E. Eichinger

The action of $Sp(3)$ on a vector space $V_3\in {\mathbb{H}}^3$ is analyzed. The transitive action of the group is conveyed by the flag manifold (coset space) $Sp(3)/Sp(1{)}^3\sim G/H$,…