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^*

^*此作品的通讯作者

Weizmann Institute of Science
University of Vienna

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

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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).

源语言	英语
页（从-至）	321-337
页数	17
期刊	Forum Mathematicum
卷	33
期	2
DOI	https://doi.org/10.1515/forum-2020-0184
出版状态	已出版 - 1 3月 2021
已对外发布	是

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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).",

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KW - see-saw diagrams

KW - Theta lift

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The distinction problems for Sp4 and SO3,3

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The distinction problems for Sp₄ and SO_3,3