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Endo-parameters forp-adic classical groups | |
2021-02 | |
发表期刊 | INVENTIONES MATHEMATICAE (IF:2.6[JCR-2023],3.3[5-Year]) |
ISSN | 0020-9910 |
发表状态 | 已发表 |
DOI | 10.1007/s00222-020-00997-0 |
摘要 | For a classical group over a non-archimedean local field of odd residual characteristic p, we prove that two cuspidal types, defined over an algebraically closed field C of characteristic different from p, intertwine if and only if they are conjugate. This completes work of the first and third authors who showed that every irreducible cuspidal C-representation of a classical group is compactly induced from a cuspidal type. We generalize Bushnell and Henniart's notion of endo-equivalence to semisimple characters of general linear groups and to self-dual semisimple characters of classical groups, and introduce (self-dual) endo-parameters. We prove that these parametrize intertwining classes of (self-dual) semisimple characters and conjecture that they are in bijection with wild Langlands parameters, compatibly with the local Langlands correspondence. |
收录类别 | SCI ; SCIE |
语种 | 英语 |
资助项目 | Engineering and Physical Sciences Research Council[EP/H00534X/1][EP/M029719/1] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000571683900001 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | 正在获取...
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文献类型 | 期刊论文 |
条目标识符 | https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/123547 |
专题 | 数学科学研究所_PI研究组(P)_Daniel Skodlerack组 |
通讯作者 | Skodlerack, Daniel |
作者单位 | 1.Imperial Coll, Dept Math, London SW7 2AZ, England; 2.ShanghaiTech Univ, Inst Math Sci, Pudong 201210, Peoples R China; 3.Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England |
通讯作者单位 | 数学科学研究所 |
推荐引用方式 GB/T 7714 | Kurinczuk, Robert,Skodlerack, Daniel,Stevens, Shaun. Endo-parameters forp-adic classical groups[J]. INVENTIONES MATHEMATICAE,2021. |
APA | Kurinczuk, Robert,Skodlerack, Daniel,&Stevens, Shaun.(2021).Endo-parameters forp-adic classical groups.INVENTIONES MATHEMATICAE. |
MLA | Kurinczuk, Robert,et al."Endo-parameters forp-adic classical groups".INVENTIONES MATHEMATICAE (2021). |
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