Schwartz homologies of representations of almost linear Nash groups

doi:10.1016/j.jfa.2020.108817

	Schwartz homologies of representations of almost linear Nash groups
	Chen, Yangyang 3; Sun, Binyong 1,2
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2021-04-01
卷号	280 期号:7 页码:50
关键词	Schwartz homology Tempered vector bundle Schwartz induction Lie algebra homology
ISSN号	0022-1236
DOI	10.1016/j.jfa.2020.108817
英文摘要	Let G be an almost linear Nash group, namely, a Nash group that admits a Nash homomorphism with finite kernel to some GL(k)(R). A homology theory (the Schwartz homology) is established for the category of smooth Frechet representations of G of moderate growth. Frobenius reciprocity and Shapiro's lemma are proved in this category. As an application, we give a criterion for automatic extensions of Schwartz homologies of Schwartz sections of a tempered G-vector bundle. (C) 2020 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000615710700003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58146]
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Binyong
作者单位	1.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 3.Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yangyang,Sun, Binyong. Schwartz homologies of representations of almost linear Nash groups[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2021,280(7):50.
APA	Chen, Yangyang,&Sun, Binyong.(2021).Schwartz homologies of representations of almost linear Nash groups.JOURNAL OF FUNCTIONAL ANALYSIS,280(7),50.
MLA	Chen, Yangyang,et al."Schwartz homologies of representations of almost linear Nash groups".JOURNAL OF FUNCTIONAL ANALYSIS 280.7(2021):50.