{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/180210336","title":"The Prasad conjectures for $\\mathrm{GSp_4}$ and $\\mathrm{PGSp_4}$","arxiv_id":"1802.10336","date":"2018-02-28","proceeding":null,"authors":["Hengfei Lu"],"abstract":"In this paper, we use the theta correspondence between $\\mathrm{GSp_4}$ and $\\mathrm{GO(V)}$ to discuss the $\\mathrm{GSp_4}$-distinction problems over a quadratic field extension $E/F.$ With a similar strategy, we study the period for the pair $(\\mathrm{GSp_4(E)},\\mathrm{GSp_{1,1}(F)}),$ where $\\mathrm{GSp_{1,1}}$ is the unique inner form of $\\mathrm{GSp_4}.$ Then we verify the Prasad conjecture for $\\mathrm{PGSp_4(E)}$.","url_abs":"http://arxiv.org/abs/1802.10336v4","url_pdf":"http://arxiv.org/pdf/1802.10336v4.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"180210336","repo_url":"https://github.com/masonlvhf/Hengfei","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}