Twisted partial coactions of Hopf algebras

doi:10.1007/s11464-016-0597-9

Front. Math. China

2017, Vol. 12

Issue (1) : 63-86 https://doi.org/10.1007/s11464-016-0597-9

RESEARCH ARTICLE

Twisted partial coactions of Hopf algebras

Quanguo CHEN,Dingguo WANG(

),Xiaodan KANG

School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

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Abstract

In this paper, the notion of a twisted partial Hopf coaction is introduced. The conditions on partial cocycles are established in order to construct partial crossed coproducts. Then the classification of partial crossed coproducts is discussed. Finally, some necessary and sufficient conditions for a class of partial crossed coproducts to be quasitriangular bialgebras are given.

Keywords Hopf algebra partial crossed coproduct quasitriangular structure

Corresponding Author(s): Dingguo WANG

Issue Date: 17 November 2016

Cite this article:

Quanguo CHEN,Dingguo WANG,Xiaodan KANG. Twisted partial coactions of Hopf algebras[J]. Front. Math. China, 2017, 12(1): 63-86.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0597-9
https://academic.hep.com.cn/fmc/EN/Y2017/V12/I1/63

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