Motives with Galois Group of type G: an Exceptional Theta-Correspondence

BENEDICT H. GROSS; GORDAN SAVIN

doi:10.1023/A:1000456731715

Abstract

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In this paper, we study an exceptional theta correspondence, obtained by restricting the minimal automorphic representation of the adjoint group of type E$_7$ and rank 3 over Q to the dual pair GxPGSp$_6$. Here G is the anisotropic form of G$_2$ over Q; using the correspondence, we lift certain automorphic forms on G to holomorphic cusp forms on PGSp$_6$. This lifting provides the first step in a project to construct motives of rank 7 and weight O over Q with Galois group of type G$_2$.

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Motives with Galois Group of type G$_2$: an Exceptional Theta-Correspondence

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Motives with Galois Group of type G$_2$: an Exceptional Theta-Correspondence

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