Theta correspondences for 𝐺𝑆𝑝(4)

Gan, Wee; Takeda, Shuichiro

doi:10.1090/S1088-4165-2011-00405-2

Theta correspondences for $\operatorname {GSp}(4)$
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by Wee Teck Gan and Shuichiro Takeda

Represent. Theory 15 (2011), 670-718

DOI: https://doi.org/10.1090/S1088-4165-2011-00405-2

Published electronically: November 1, 2011

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Abstract:

We explicitly determine the theta correspondences for $\operatorname {GSp}_4$ and orthogonal similitude groups associated to various quadratic spaces of rank $4$ and $6$. The results are needed in our proof of the local Langlands correspondence for $\operatorname {GSp}_4$.

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