POSITIVITY OF MATRIX COEFFICIENTS OF REPRESENTATIONS WITH REAL INFINITESIMAL CHARACTERS

doi:10.1007/s11856-009-0034-9

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	POSITIVITY OF MATRIX COEFFICIENTS OF REPRESENTATIONS WITH REAL INFINITESIMAL CHARACTERS
	Sun, Binyong
	2009-03-01
发表期刊	ISRAEL JOURNAL OF MATHEMATICS
ISSN	0021-2172
卷号	170 期号:1 页码:395-410
摘要	Let G be a semisimple Lie group with a Cartan decomposition G = K exp(p). For every finite-dimensional representation of G, there is an inner product on the representation space such that with respect to it, K acts as unitary operators, and exp(p) acts as positive definite Hermitian operators. In this paper, we observe that similar phenomena appear for infinite-dimensional representations with real infinitesimal characters.
DOI	10.1007/s11856-009-0034-9
语种	英语
资助项目	Tianyuan Mathematics Foundation of NSFC[10626050]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000265817800017
出版者	HEBREW UNIV MAGNES PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8896
专题	数学所
通讯作者	Sun, Binyong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100090, Peoples R China
推荐引用方式 GB/T 7714	Sun, Binyong. POSITIVITY OF MATRIX COEFFICIENTS OF REPRESENTATIONS WITH REAL INFINITESIMAL CHARACTERS[J]. ISRAEL JOURNAL OF MATHEMATICS,2009,170(1):395-410.
APA	Sun, Binyong.(2009).POSITIVITY OF MATRIX COEFFICIENTS OF REPRESENTATIONS WITH REAL INFINITESIMAL CHARACTERS.ISRAEL JOURNAL OF MATHEMATICS,170(1),395-410.
MLA	Sun, Binyong."POSITIVITY OF MATRIX COEFFICIENTS OF REPRESENTATIONS WITH REAL INFINITESIMAL CHARACTERS".ISRAEL JOURNAL OF MATHEMATICS 170.1(2009):395-410.