Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories

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外文摘要：Let t be a positive integer and A be a hereditary abelian category satisfying some finiteness conditions.We define the semi-derived Ringel-Hall algebra of A from the category Cz/t(A)of Z/t-graded complexes and obtain a natural basis of the semi-derived Ringel-Hall algebra.Moreover,we describe the semi-derived Ringel-Hall algebra by the generators and defining relations.In particular,if t is an odd integer,we show an embedding of the derived Hall algebra of the odd-periodic relative derived category in the extended semi-derived Ringel-Hall algebra.

外文关键词：

hereditary abelian categoriesthe categories of Z/t-graded complexessemi-derived Ringel-Hall algebrasderived Hall algebras

作者：

Ji Lin、Liangang Peng

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作者单位：

Department of Mathematics and Statistics,Fuyang Normal University,Fuyang 236037,China

School of Mathematics,Sichuan University,Chengdu 610064,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaUniversity Natural Science Project of Anhui ProvinceUniversity Outstanding Youth Research Project in Anhui ProvinceScientific Research and Innovation Team Project of Fuyang Normal University

项目编号：

1200110711821001KJ2021A06612022AH020082TDJC2021009

出版年：

2024

DOI：

10.1007/s11425-022-2145-x

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(8)

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