A = u for Locally Acyclic Cluster Algebras

被引：23
|
作者：
Muller, Greg [1 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2014年 / 10卷
基金：
美国国家科学基金会;
关键词：
cluster algebras; upper cluster algebras; acyclic cluster algebras;
D O I：
10.3842/SIGMA.2014.094
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] Cluster automorphism groups of cluster algebras of finite type
    Chang, Wen
    Zhu, Bin
    JOURNAL OF ALGEBRA, 2016, 447 : 490 - 515
  • [22] Applications of the freezing operators on cluster algebras
    Qin, Fan
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [23] Schottky vertex operator cluster algebras
    Zuevsky, A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2022, 37 (17):
  • [24] Factoriality and class groups of cluster algebras
    Elsener, Ana Garcia
    Lampe, Philipp
    Smertnig, Daniel
    ADVANCES IN MATHEMATICS, 2019, 358
  • [25] Tetrahedron equation and quantum cluster algebras
    Inoue, Rei
    Kuniba, Atsuo
    Terashima, Yuji
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (08)
  • [26] Exact WKB analysis and cluster algebras
    Iwaki, Kohei
    Nakanishi, Tomoki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (47)
  • [27] Cluster Scattering Diagrams and Theta Functions for Reciprocal Generalized Cluster Algebras
    Cheung, Man-Wai
    Kelley, Elizabeth
    Musiker, Gregg
    ANNALS OF COMBINATORICS, 2022, 27 (3) : 615 - 691
  • [28] Linear independence of cluster monomials for skew-symmetric cluster algebras
    Irelli, Giovanni Cerulli
    Keller, Bernhard
    Labardini-Fragoso, Daniel
    Plamondon, Pierre-Guy
    COMPOSITIO MATHEMATICA, 2013, 149 (10) : 1753 - 1764
  • [29] Cluster algebras and category O for representations of Borel subalgebras of quantum afFine algebras
    Hernandez, David
    Leclerc, Bernard
    Algebra & Number Theory, 2016, 10 (09) : 2015 - 2052
  • [30] Categorification of Skew-symmetrizable Cluster Algebras
    Demonet, Laurent
    ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (06) : 1087 - 1162
12345