LIFTING ORTHOGONAL REPRESENTATIONS TO SPIN GROUPS AND LOCAL ROOT NUMBERS

被引：11
|
作者：
PRASAD, D
RAMAKRISHNAN, D
机构：
[1] MEHTA RES INST, ALLAHABAD 211002, UTTAR PRADESH, INDIA
[2] TATA INST FUNDAMENTAL RES, BOMBAY 400005, MAHARASHTRA, INDIA
[3] CALTECH, PASADENA, CA 91125 USA
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1995年 / 105卷 / 03期
关键词：
ORTHOGONAL REPRESENTATIONS; SPIN GROUPS; LOCAL ROOT NUMBERS;
D O I：
10.1007/BF02837191
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Representations of D-k*/k* for a quaternion division algebra D-k over a local field k are orthogonal representations. In this note we investigate when these orthogonal representations can be lifted to the corresponding spin group. The results are expressed in terms of local root number of the representation.
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页码：259 / 267
页数：9
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