Skew pairing, Cocycle deformations and double crossproducts |
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| Authors: | Huixiang Chen |
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| Institution: | (1) Institute of Mathematics, Fudan University, 200433 Shanghai, P. R. China;(2) Department of Mathematics, Yangzhou University, 225002 Yangzhou, P. R. China |
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| 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.
Supported by Chinese Natural Science Fund |
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| Keywords: | Skew-pairing 2-cocycle Monoidal category Natural isomorphism |
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