On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon

被引：0

作者：

Thorsten Holm

Peter Jørgensen

机构：

[1] Leibniz Universität Hannover,Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Fakultät für Mathematik und Physik

[2] Newcastle University,School of Mathematics and Statistics

来源：

Mathematische Zeitschrift | 2012年 / 270卷

关键词：

2-Calabi–Yau category; Cluster structure; Cluster tilting subcategory; Derived category; Differential graded algebra; Differential graded module; Fomin–Zelevinsky mutation; Spherical object; Quiver; Weak cluster tilting subcategory; 13F60; 16E45; 16G20; 16G70; 18E30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：277 / 295

页数：18

共 8 条

[1] On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon
Holm, Thorsten
Jorgensen, Peter
MATHEMATISCHE ZEITSCHRIFT, 2012, 270 (1-2) : 277 - 295
[2] CLUSTER ALGEBRAS ARISING FROM INFINITY-GON
Ndoune, Ndoune
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2016, 19 : 145 - 170
[3] On a cluster category of type D infinity
Yang, Yichao
JOURNAL OF ALGEBRA, 2017, 478 : 12 - 37
[4] Cluster categories of type A∞∞ and triangulations of the infinite strip
Liu, Shiping
Paquette, Charles
MATHEMATISCHE ZEITSCHRIFT, 2017, 286 (1-2) : 197 - 222
[5] Cluster tilting vs. weak cluster tilting in Dynkin type A infinity
Holm, Thorsten
Jorgensen, Peter
FORUM MATHEMATICUM, 2015, 27 (02) : 1117 - 1137
[6] Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type An
Thorsten Holm
Peter Jørgensen
Martin Rubey
Journal of Algebraic Combinatorics, 2011, 34 : 507 - 523
[7] Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type A n
Holm, Thorsten
Jorgensen, Peter
Rubey, Martin
JOURNAL OF ALGEBRAIC COMBINATORICS, 2011, 34 (03) : 507 - 523
[8] Cluster categories of type A∞∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {A}}_\infty ^\infty $$\end{document} and triangulations of the infinite strip
Shiping Liu
Charles Paquette
Mathematische Zeitschrift, 2017, 286 (1-2) : 197 - 222

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