Endo-parameters forp-adic classical groups
2021-02
发表期刊INVENTIONES MATHEMATICAE (IF:2.6[JCR-2023],3.3[5-Year])
ISSN0020-9910
发表状态已发表
DOI10.1007/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
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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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