Exceptional Theta-correspondences I
Kay Magaard and Gordan Savin
Let $G$ be a split simply laced group defined over a $p$-adic field $F$. In this paper we study the restriction of the minimal representation of $G$ to various dual pairs in $G$. For example, the restriction of the minimal representation of $E_7$ to the dual pair $G_2 \times Sp(6)$ gives the non-endoscopic Langlands lift of irreducible representations of $G_2$ to $Sp(6)$.