Drinfeld Double for Braided Infinitesimal Hopf Algebras

Abstract

In this paper, we mainly construct the Drinfeld double for braided infinitesimal Hopf algebras in Yetter–Drinfeld categories as a generalization of Aguiar's result.

Key Words:

• Braided infinitesimal bialgebra
• Drinfeld double
• Yang–Baxter equation
• Yetter–Drinfeld category

2010 Mathematics Subject Classification:

• 16T05
• 16T25

ACKNOWLEDGMENTS

The authors would like to thank the referee for helpful comments. The work was partially supported by the NSF of Jiangsu Province (No. BK2012736) and the NSF of China (No. 11371088).

Notes

Communicated by V. A. Artamonov.