THE LANGLANDS-SHAHIDI METHOD FOR PAIRS VIA TYPES AND COVERS
- 주제(키워드) Types and covers , local coefficients , epsilon factors
- 주제(기타) Mathematics
- 설명문(일반) [Jo, Yeongseong; Krishnamurthy, M.] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- 등재 SCIE, SCOPUS
- OA유형 Bronze, Green Submitted
- 발행기관 AMER MATHEMATICAL SOC
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000203015
- 본문언어 영어
- Published As https://doi.org/10.1090/ert/620
초록/요약
We compute the local coefficient attached to a pair (pi(1), pi(2)) of supercuspidal (complex) representations of the general linear group using the theory of types and covers a la Bushnell-Kutzko. In the process, we obtain another proof of a well-known formula of Shahidi for the corresponding Plancherel constant. The approach taken here can be adapted to other situations of arithmetic interest within the context of the Langlands-Shahidi method, particularly to that of a Siegel Levi subgroup inside a classical group.
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