Cluster characters for 2-Calabi-Yau Frobenius extriangulated categories

被引：0
|
作者：
Wang, Li [1 ]
Wei, Jiaqun [2 ]
Zhang, Haicheng [3 ]
机构：
[1] Anhui Polytech Univ, Sch Math Phys & Finance, Wuhu 241000, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2024年 / 660卷
基金：
中国国家自然科学基金;
关键词：
Extriangulated categories; Cluster algebras; Cluster characters; TRIANGULATED CATEGORIES; ALGEBRAS;
D O I：
10.1016/j.jalgebra.2024.07.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define the cluster characters for 2-Calabi-Yau Frobenius extriangulated categories with cluster tilting objects. This provides a unified framework of cluster characters in 2-CalabiYau triangulated categories and 2-Calabi-Yau Frobenius exact categories given by Palu and Fu-Keller, respectively. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码：645 / 672
页数：28
相关论文
共 50 条
  • [31] An equivalence between semisimple symmetric Frobenius algebras and Calabi-Yau categories
    Hesse, Jan
    JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2018, 13 (01) : 251 - 272
  • [32] 2-Calabi-Yau tilted代数的交换关系
    刘品
    中国科学:数学, 2010, 40 (11) : 1039 - 1044
  • [33] SKEW CALABI-YAU TRIANGULATED CATEGORIES AND FROBENIUS EXT-ALGEBRAS
    Reyes, Manuel
    Rogalski, Daniel
    Zhang, James J.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (01) : 309 - 340
  • [34] Calabi-Yau and fractional Calabi-Yau categories
    Kuznetsov, Alexander
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 753 : 239 - 267
  • [35] On the structure of Calabi-Yau categories with a cluster tilting subcategory
    Tabuada, Goncalo
    DOCUMENTA MATHEMATICA, 2007, 12 : 193 - 213
  • [36] The Nori-Hilbert scheme is not smooth for 2-Calabi-Yau algebras
    Bocklandt, Raf
    Galluzzi, Federica
    Vaccarino, Francesco
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2016, 10 (02) : 745 - 774
  • [37] Calabi-Yau Frobenius algebras
    Eu, Ching-Hwa
    Schedler, Travis
    JOURNAL OF ALGEBRA, 2009, 321 (03) : 774 - 815
  • [38] Frobenius polynomials for Calabi-Yau equations
    Samol, Kira
    van Straten, Duco
    COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2008, 2 (03) : 537 - 561
  • [39] T-structures and torsion pairs in a 2-Calabi-Yau triangulated category
    Zhou, Yu
    Zhu, Bin
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 89 : 213 - 234
  • [40] A Geometric Model for Syzygies Over 2-Calabi-Yau Tilted Algebras II
    Schiffler, Ralf
    Serhiyenko, Khrystyna
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (03) : 1968 - 2016
12345