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

doi:10.1016/j.jalgebra.2022.06.013

	Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras
	Han, Yang 1,2
刊名	JOURNAL OF ALGEBRA
	2022-11-01
卷号	609 页码:87-119
关键词	Cartanmatrix Hochschild(co)homology Shklyarovpairing Cherncharacter Hattori-Stallingstrace
ISSN号	0021-8693
DOI	10.1016/j.jalgebra.2022.06.013
英文摘要	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.
资助项目	National Natural Science Foundation of China[11971460]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000861841100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60914]
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.