Quantum Double for Quasi-Hopf Algebras

被引：0
|
作者：
S. Majid
机构：
[1] Harvard University,Department of Mathematics
[2] Science Center,Department of Applied Mathematics and Theoretical Physics
[3] University of Cambridge,undefined
来源：
Letters in Mathematical Physics | 1998年 / 45卷
关键词：
quantum double; quasi-Hopf algebra; finite group; cocycle; category; reconstruction.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a quantum double quasi-triangular quasi-Hopf algebra D(H) associated to any quasi-Hopf algebra H. The algebra structure is a cocycle double cross-product. We use categorical reconstruction methods. As an example, we recover the quasi-Hopf algebra of Dijkgraaf, Pasquier and Roche as the quantum double Dφ(G) associated to a finite group G and group 3-cocycle φ.
引用
收藏
页码：1 / 9
页数：8
相关论文
共 50 条
  • [1] Quantum double for quasi-Hopf algebras
    Majid, S
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1998, 45 (01) : 1 - 9
  • [2] The quantum double for quasitriangular quasi-Hopf algebras
    Bulacu, D
    Caenepeel, S
    [J]. COMMUNICATIONS IN ALGEBRA, 2003, 31 (03) : 1403 - 1425
  • [3] Double wreath quasi-Hopf algebras
    Bulacu, D.
    Popescu, D.
    Torrecillas, B.
    [J]. JOURNAL OF ALGEBRA, 2025, 662 : 1 - 71
  • [4] Quantum homogeneous spaces and quasi-Hopf algebras
    Enriquez, B
    Kosmann-Schwarzbach, Y
    [J]. CONFERENCE MOSHE FLATO 1999, VOL II: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 22 : 105 - 121
  • [5] Quantum traces and quantum dimensions for quasi-Hopf algebras
    Bulacu, D
    Panaite, F
    Van Oystaeyen, F
    [J]. COMMUNICATIONS IN ALGEBRA, 1999, 27 (12) : 6103 - 6122
  • [6] Involutory Quasi-Hopf Algebras
    D. Bulacu
    S. Caenepeel
    B. Torrecillas
    [J]. Algebras and Representation Theory, 2009, 12 : 257 - 285
  • [7] Categorification and Quasi-Hopf Algebras
    Chang Wen-Jing
    Wang Zhi-Xi
    Wu Ke
    Yang Zi-Feng
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (02) : 207 - 210
  • [8] Categorification and Quasi-Hopf Algebras
    常文静
    王志玺
    吴可
    杨紫峰
    [J]. Communications in Theoretical Physics, 2011, 56 (08) : 207 - 210
  • [9] Involutory Quasi-Hopf Algebras
    Bulacu, D.
    Caenepeel, S.
    Torrecillas, B.
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2009, 12 (2-5) : 257 - 285
  • [10] Modified traces for quasi-Hopf algebras
    Berger, Johannes
    Gainutdinov, Azat M.
    Runkel, Ingo
    [J]. JOURNAL OF ALGEBRA, 2020, 548 : 96 - 119
12345