Acta Mathematica Sinica

, Volume 15, Issue 2, pp 225–234 | Cite as

Skew pairing, Cocycle deformations and double crossproducts

  • Huixiang Chen
Article
Received:
Revised:
Accepted:

Abstract

In this paper, we give a sufficient condition for double crossproductX ⋈A to beX ⋈ τ A for some skew pairingτ ifX ⋈A is a 2-cocycle deformation ofX ⊗A. Then we give a sufficient and necessary condition forX ⋈A to beX ⋈ τ A by using natural isomorphism terminology.

Keywords

Skew-pairing 2-cocycle Monoidal category Natural isomorphism 

1991MR Subject Classification

16W30 17B37 18D10 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Huixiang Chen
    • 1
    • 2
  1. 1.Institute of MathematicsFudan UniversityShanghaiP. R. China
  2. 2.Department of MathematicsYangzhou UniversityYangzhouP. R. China

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