Local transfer and reducibility of induced representations of p-adic groups of classical type

被引：4

作者：

Asgari, Mandi ^{[1
]}

Cogdell, James W. ^{[2
]}

Shahidi, Freydoon ^{[3
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[2] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

[3] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

ADVANCES IN THE THEORY OF AUTOMORPHIC FORMS AND THEIR L-FUNCTIONS | 2016年 / 664卷

关键词：

IRREDUCIBLE REPRESENTATIONS; STANDARD MODULES; GENERIC TRANSFER; UNITARY GROUPS; FUNCTORIALITY; CONJECTURE; PROOF;

D O I：

10.1090/conm/664/13113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze reducibility points of representations of p-adic groups of classical type, induced from generic supercuspidal representations of maximal Levi subgroups, both on and off the unitary axis. We are able to give general, uniform results in terms of local functorial transfers of the generic representations of the groups we consider. The existence of the local transfers follows from global generic transfers that were established earlier.

引用

页码：1 / +

页数：4

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