Irreducible representations of Hopf algebras over dihedral groups

被引:0
|
作者
Fernando Fantino
Juan Hidalgo
Adriana Mejia Castaño
Carla Mörschbächer
Virgínia Rodrigues
机构
[1] Universidad Nacional de Córdoba - FaMAF,Departamento de Matemática y Estadística
[2] Universidad del Norte,undefined
[3] Instituto Federal Catarinense - IFC,undefined
[4] Universidade Federal de Santa Catarina - UFSC,undefined
来源
关键词
Irreducible representations; Pointed Hopf algebras; Dihedral groups; Jacobson radical; 16T05; 16E20;
D O I
暂无
中图分类号
学科分类号
摘要
We calculate all irreducible representations over a subfamily of pointed Hopf algebras with group-likes the dihedral group analyzing the possible decompositions of the restriction to the dihedral group and calculating the Jacobson radical of the Hopf algebra.
引用
收藏
页码:519 / 547
页数:28
相关论文
共 50 条
  • [1] Irreducible representations of Hopf algebras over dihedral groups
    Fantino, Fernando
    Hidalgo, Juan
    Mejia Castano, Adriana
    Morschbacher, Carla
    Rodrigues, Virginia
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 58 (02) : 519 - 547
  • [2] ON POINTED HOPF ALGEBRAS OVER DIHEDRAL GROUPS
    Fantino, Fernando
    Andres Garcia, Gaston
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2011, 252 (01) : 69 - 91
  • [3] On finite-dimensional copointed Hopf algebras over dihedral groups
    Fantino, Fernando
    Andres Garcia, Gaston
    Mastnak, Mitja
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (08) : 3611 - 3634
  • [4] IRREDUCIBLE REPRESENTATIONS FOR CYCLIC, DIHEDRAL AND CUBIC POINT GROUPS
    RODGER, A
    [J]. AUSTRALIAN JOURNAL OF CHEMISTRY, 1987, 40 (06) : 1035 - 1042
  • [5] Multivalued groups, their representations and Hopf algebras
    Buchstaber V.M.
    Rees E.G.
    [J]. Transformation Groups, 1997, 2 (4) : 325 - 349
  • [7] On the irreducible representations of group algebras of linear groups
    Tushev, AV
    [J]. DOKLADY AKADEMII NAUK, 1999, 368 (06) : 740 - 741
  • [8] Irreducible Representations of Some Point Groups Which Are Isomorphic to Some Dihedral Groups
    Yahya, Zainab
    Ali, Nor Muhainiah Mohd
    Sarmin, Nor Haniza
    Adnan, Noor Asma'Adny Mohd
    Rahmat, Hamisan
    [J]. PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 617 - 621
  • [10] IRREDUCIBLE REPRESENTATIONS OF ALGEBRAS
    GOODAIRE, EG
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (05): : 1118 - 1129