AN EXPLICIT CONDUCTOR FORMULA FOR GLn x GL1

被引：3
|
作者：
Corbett, Andrew [1 ]
机构：
[1] Math Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2019年 / 49卷 / 04期
关键词：
Non-archimedean representation theory; epsilon factor; DIVISION-ALGEBRAS; REPRESENTATIONS;
D O I：
10.1216/RMJ-2019-49-4-1093
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an explicit formula for the conductor of an irreducible, admissible representation of GL(n) (F) twisted by a character of F-x where the field F is local and non-archimedean. As a consequence, we quantify the number of character twists of such a representation of fixed conductor.
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页码：1093 / 1110
页数：18
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