Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras

doi:10.1016/j.jalgebra.2022.06.013

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	Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras
	Han, Yang 1,2
	2022-11-01
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	609 页码:87-119
摘要	We introduce the dimension matrix of a bimodule complex and the trace matrix of a chain endomorphism of a bimodule complex, and give the Hirzebruch-Riemann-Roch (HRR) and Lefschetz type formulas for finite dimensional elementary algebras of finite global dimension. Moreover, we compare our HRR and Lefschetz type formulas with Shklyarov's HRR type formulas and Petit's Lefschetz type formulas for dg algebras.(c) 2022 Elsevier Inc. All rights reserved.
关键词	Cartanmatrix Hochschild(co)homology Shklyarovpairing Cherncharacter Hattori-Stallingstrace
DOI	10.1016/j.jalgebra.2022.06.013
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971460]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000861841100002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60915
专题	中国科学院数学与系统科学研究院
通讯作者	Han, Yang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Han, Yang. Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras[J]. JOURNAL OF ALGEBRA,2022,609:87-119.
APA	Han, Yang.(2022).Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras.JOURNAL OF ALGEBRA,609,87-119.
MLA	Han, Yang."Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras".JOURNAL OF ALGEBRA 609(2022):87-119.