THE GREEN RINGS OF TAFT ALGEBRAS

被引：1
|
作者：
Chen, Huixiang [1 ]
Van Oystaeyen, Fred [2 ]
Zhang, Yinhuo [3 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China
[2] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium
[3] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 03期
关键词：
Green ring; indecomposable module; Taft algebra; FINITE-GROUP;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute the Green ring of the Taft algebra H-n(q), where n is a positive integer greater than 1 and q is an n-th root of unity. It turns out that the Green ring r(H-n(q)) of the Taft algebra H-n(q) is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for n = 2, 3, ... , 8 are given.
引用
收藏
页码：765 / 775
页数：11
相关论文
共 50 条
  • [1] The Green rings of the generalized Taft Hopf algebras
    Li, Libin
    Zhang, Yinhuo
    HOPF ALGEBRAS AND TENSOR CATEGORIES, 2013, 585 : 275 - +
  • [2] Green rings of Drinfeld doubles of Taft algebras
    Sun, Hua
    Mohammed, Hassan Suleman Esmael
    Lin, Weijun
    Chen, Hui-Xiang
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (09) : 3933 - 3947
  • [3] Green rings of weak Hopf algebras based on generalized Taft algebras
    Dong Su
    Shilin Yang
    Periodica Mathematica Hungarica, 2018, 76 : 229 - 242
  • [4] Green rings of weak Hopf algebras based on generalized Taft algebras
    Su, Dong
    Yang, Shilin
    PERIODICA MATHEMATICA HUNGARICA, 2018, 76 (02) : 229 - 242
  • [5] REPRESENTATIONS OVER GREEN ALGEBRAS OF WEAK HOPF ALGEBRAS BASED ON TAFT ALGEBRAS
    Cao, Liufeng
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (06) : 1687 - 1695
  • [6] Generalized Taft algebras
    Huang, HL
    Chen, HX
    Zhang, P
    ALGEBRA COLLOQUIUM, 2004, 11 (03) : 313 - 320
  • [7] Taft algebras acting on associative algebras
    Bergen, Jeffrey
    JOURNAL OF ALGEBRA, 2015, 423 : 422 - 440
  • [8] Taft Green
    Tumlir, J
    ARTFORUM INTERNATIONAL, 2004, 42 (10): : 236 - 237
  • [9] Stable Green Ring of the Drinfeld Doubles of the Generalised Taft Algebras (Corrections and New Results)
    Karin Erdmann
    Edward L. Green
    Nicole Snashall
    Rachel Taillefer
    Algebras and Representation Theory, 2019, 22 : 757 - 783
  • [10] The Green rings of the 2-rank Taft algebra and its two relatives twisted
    Li, Yunnan
    Hu, Naihong
    JOURNAL OF ALGEBRA, 2014, 410 : 1 - 35
12345