The endoscopic character identity for even special orthogonal groups

[2506.17907] The endoscopic character identity for even special orthogonal groups Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Representation Theory arXiv:2506.17907 (math) [Submitted on 22 Jun 2025 ( v1 ), last revised 14 Apr 2026 (this version, v3)] Title: The endoscopic character identity for even special orthogonal groups Authors: Hao Peng View a PDF of the paper titled The endoscopic character identity for even special orthogonal groups, by Hao Peng View PDF HTML (experimental) Abstract: We establish the endoscopic character identity for bounded $A$-packets of non-quasisplit even special orthogonal groups, with respect to elliptic endoscopic triples. The proof reduces the non-quasisplit case to the quasisplit case and the real Adam--Johnson case by combining local-global compatibility principle with Arthur's multiplicity formula for non-quasisplit even special orthogonal groups established by Chen and Zou in arXiv:2103.07956 . This result plays a key role in the author's work arXiv:2503.04623 on the compatibility between the Fargues--Scholze local Langlands correspondence and classical local Langlands correspondence for even special orthogonal groups. Comments: Revised and accepted version Subjects: Representation Theory (math.RT) MSC classes: 22E50, 11S37 Cite as: arXiv:2506.17907 [math.RT] (or arXiv:2506.17907v3 [math.RT] for this version) https://doi.org/10.48550/arXiv.2506.17907 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Hao Peng [ view email ] [v1] Sun, 22 Jun 2025 06:01:41 UTC (38 KB) [v2] Wed, 24 Sep 2025 02:16:06 UTC (39 KB) [v3] Tue, 14 Apr 2026 09:05:32 UTC (104 KB) Full-text links: Access Paper: View a PDF of the paper titled The endoscopic character identity for even special orthogonal groups, by Hao Peng View PDF HTML (experimental) TeX Source view license Current browse context: math.RT < prev | next > new | recent | 2025-06 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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