Double construction for crossed Hopf coalgebras

被引：80
|
作者：
Zunino, M [1 ]
机构：
[1] Aarhus Univ, Dept Math, DK-8000 Aarhus C, Denmark
来源：
JOURNAL OF ALGEBRA | 2004年 / 278卷 / 01期
关键词：
D O I：
10.1016/j.jalgebra.2004.03.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide an analog of the Drinfeld quantum double construction in the context of crossed Hopf group coalgebras introduced by Turaev. We prove that, provided the base group is finite, the double of a semisimple crossed Hopf group coalgebra is both modular and unimodular. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：43 / 75
页数：33
相关论文
共 50 条
  • [1] CROSSED PRODUCTS OF HOPF GROUP-COALGEBRAS
    Guo, Shuang-jian
    Wang, Shuan-hong
    KODAI MATHEMATICAL JOURNAL, 2013, 36 (02) : 325 - 342
  • [2] Representation Crossed Category of Weak Hopf Group Coalgebras
    Guo, Shuangjian
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (04) : 487 - 495
  • [3] New braided crossed categories and Drinfel'd quantum double for weak Hopf group coalgebras
    Van Daele, A.
    Wang, Shuanhong
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (06) : 2341 - 2386
  • [4] A Class of Quasitriangular Hopf Group Coalgebras and Drinfel'd Double
    Dong, Lihong
    Guo, Shuangjian
    Wang, Shuanhong
    ALGEBRA COLLOQUIUM, 2013, 20 (03) : 527 - 540
  • [5] ON COREPRESENTATION OF HOPF π-COALGEBRAS
    Chen, Quanguo
    Wang, Dingguo
    Nuerdanbieke, Baitakazi
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (05)
  • [6] New Braided T-Categories over Weak Crossed Hopf Group Coalgebras
    Zhou, Xuan
    Yang, Tao
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [7] Drinfel'd construction for Hom-Hopf T-coalgebras
    Yan, Dongdong
    Wang, Shuanhong
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (08)
  • [8] On the double crossed product of weak Hopf algebras
    Boehm, Gabriella
    Gomez-Torrecillas, Jose
    HOPF ALGEBRAS AND TENSOR CATEGORIES, 2013, 585 : 153 - +
  • [9] Theorems for Hopf comodule coalgebras
    Liu, GL
    CHINESE SCIENCE BULLETIN, 1996, 41 (12): : 969 - 972
  • [10] Twisted Hopf module coalgebras
    Ju, TX
    Cai, CR
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (01) : 307 - 320
12345