A family of Spin(8) dual pairs: the case of real groups

Wee Teck Gan, Hung Yean Loke, Annegret Paul +1

Exceptional groups of type $E_6$ contain dual pairs where one member is $\mathrm{Spin}(8)$, and the other is $T⋊\mathbb{Z}/2\mathbb{Z}$, where $T$ is a two-dimensional torus a…