DUAL PAIRS AND CONTRAGREDIENTS OF IRREDUCIBLE REPRESENTATIONS

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	DUAL PAIRS AND CONTRAGREDIENTS OF IRREDUCIBLE REPRESENTATIONS
	Sun, Binyong
	2011-02-01
发表期刊	PACIFIC JOURNAL OF MATHEMATICS
ISSN	0030-8730
卷号	249 期号:2 页码:485-494
摘要	Let G be one of the classical groups GL(n), U(n), O(n) or Sp(2n), over a nonarchimedean local field of characteristic zero. It is well known that the contragredient of an irreducible admissible smooth representation of G is isomorphic to a twist of it by an automorphism of G. We prove that similar results hold for double covers of G that occur in the study of local theta correspondences.
关键词	contragredient representation dual pair irreducible representation
语种	英语
资助项目	NSFC[10801126] ; NSFC[10931006]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000288128000013
出版者	PACIFIC JOURNAL MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11265
专题	数学所
通讯作者	Sun, Binyong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Sun, Binyong. DUAL PAIRS AND CONTRAGREDIENTS OF IRREDUCIBLE REPRESENTATIONS[J]. PACIFIC JOURNAL OF MATHEMATICS,2011,249(2):485-494.
APA	Sun, Binyong.(2011).DUAL PAIRS AND CONTRAGREDIENTS OF IRREDUCIBLE REPRESENTATIONS.PACIFIC JOURNAL OF MATHEMATICS,249(2),485-494.
MLA	Sun, Binyong."DUAL PAIRS AND CONTRAGREDIENTS OF IRREDUCIBLE REPRESENTATIONS".PACIFIC JOURNAL OF MATHEMATICS 249.2(2011):485-494.