THE GENERALIZED INJECTIVITY CONJECTURE

被引：0
|
作者：
Dijols, Sarah [1 ]
机构：
[1] Tsinghua Univ, 312 Jingzhai,Qinghuqyuan St, Beijing, Peoples R China
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2022年 / 150卷 / 02期
关键词：
Representations of p-adic groups; Whittaker models; generic subquotients; standard module; P-ADIC GROUPS; INDUCED REPRESENTATIONS; DISCRETE-SERIES; SPECTRAL DECOMPOSITION; CLASSIFICATION; THEOREM;
D O I：
10.24033/bsmf.2848
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a conjecture of Casselman and Shahidi stating that the unique irreducible generic subquotient of a standard module is necessarily a subrepresentation for a large class of connected quasi-split reductive groups, in particular for those that have a root system of classical type (or product of such groups). To do so, we prove and use the existence of strategic embeddings for irreducible generic discrete series representations, extending some results of Moeglin.
引用
收藏
页码：251 / 345
页数：95
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