The Grothendieck groups of m-cluster categories of type Dn

被引：0

作者：

Chang, Huimin ^{[1
]}

Zhuang, Xiao ^{[2
]}

机构：

[1] Open Univ China, Dept Appl Math, Beijing, Peoples R China

[2] Beijing Union Univ, Inst Fundamental & Interdisciplinary Sci, Beijing 100101, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 08期

关键词：

Grothendieck group; m-cluster category of type D-n; m-cluster tilting subcategory; TRIANGULATED CATEGORIES;

D O I：

10.1080/00927872.2024.2316310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Grothendieck groups of m-cluster categories of type D-n, denoted by C-Dn(m), when m is odd, via the m-cluster tilting subcategories of C-Dn(m). When m = 1, we generalize the work of Barot, Kussin and Lenzing for studying the Grothendieck groups of cluster categories of type D-n.

引用

页码：3181 / 3193

页数：13

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