Exceptional dual pair correspondences; case of real groups of split rank one

Petar Bakic, Hung Yean Loke, Gordan Savin

Exceptional real groups have quaternionic forms of split rank 4 that contain dual pairs $G\times G^{\prime }$, where $G^{\prime }$ is the split Lie group of the type $G_2$, and $G$ a Lie group of sp…