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Schwartz homologies of representations of almost linear Nash groups

文献类型：期刊论文

作者Chen, Yangyang1; Sun, Binyong2,3
刊名JOURNAL OF FUNCTIONAL ANALYSIS
出版日期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
DOI10.1016/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
WOS记录号WOS:000615710700003
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
2.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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