Exceptional Theta-correspondences I

Details Exceptional Theta-correspondences I Exceptional Theta-correspondences I

1995-05-23

arxiv.org/abs/math/9505209v1

Mathematics

Representation Theory

Scientific paper

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).

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