Exceptional Theta-correspondences I

Kay Magaard; Gordan Savin

Exceptional Theta-correspondences I

Representation Theory 2016-09-06 v1

Authors: Kay Magaard , Gordan Savin

Abstract

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).

Keywords

langlands correspondence group representations theta correspondence

Cite

@article{arxiv.math/9505209,
  title  = {Exceptional Theta-correspondences I},
  author = {Kay Magaard and Gordan Savin},
  journal= {arXiv preprint arXiv:math/9505209},
  year   = {2016}
}

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