A class of new braided Hopf algebras

doi:10.1007/s11464-011-0096-y

Front Math Chin

2011, Vol. 6

Issue (2) : 293-308 https://doi.org/10.1007/s11464-011-0096-y

RESEARCH ARTICLE

A class of new braided Hopf algebras

Tianshui MA¹(

), Haiying LI¹, Shuanhong WANG²

1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China; 2. Department of Mathematics, Southeast University, Nanjing 211189, China

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Abstract

We give the necessary and sufficient conditions for a general crossed product algebra equipped with the usual tensor product coalgebra structure to be a Hopf algebra. Furthermore, we obtain the necessary and sufficient conditions for the general crossed product Hopf algebra to be a braided Hopf algebra which generalizes some known results.

Keywords Crossed product braided Hopf algebra twisted product

Corresponding Author(s): MA Tianshui,Email:matianshui@yahoo.com

Issue Date: 01 April 2011

Cite this article:

Tianshui MA,Haiying LI,Shuanhong WANG. A class of new braided Hopf algebras[J]. Front Math Chin, 2011, 6(2): 293-308.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-011-0096-y
https://academic.hep.com.cn/fmc/EN/Y2011/V6/I2/293

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