The distinction problems for Sp4 and SO3,3

Hengfei Lu

doi:10.1515/forum-2020-0184

The distinction problems for Sp₄ and SO_3,3

Hengfei Lu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper studies the Prasad conjecture for the special orthogonal group SO3,3. Then we use the local theta correspondence between Sp4 and O(V) to study the Sp4-distinction problems over a quadratic field extension E/F and dim V=4 or 6. Thus we can verify the Prasad conjecture for a square-integrable representation of Sp4(E).

Original language	English
Pages (from-to)	321-337
Number of pages	17
Journal	Forum Mathematicum
Volume	33
Issue number	2
DOIs	https://doi.org/10.1515/forum-2020-0184
State	Published - 1 Mar 2021
Externally published	Yes

Keywords

Prasad conjecture
see-saw diagrams
Theta lift

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KW - Theta lift

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The distinction problems for Sp₄ and SO_3,3

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Keywords

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