Author(s)

Shengxiang Wang^1,2*

¹Department of Mathematics, Nanjing University, Nanjing, China.
²School of Mathematics and Finance, Chuzhou University, Chuzhou, China.

The present paper is a continuation of [1], where we considered braided infinitesimal Hopf algebras (i.e., infinitesimal Hopf algebras in the Yetter-Drin feld category for any Hopf algebra H), and constructed their Drinfeld double as a generalization of Aguiar’s result. In this paper we mainly investigate the necessary and sufficient condition for a braided infinitesimal bialgebra to be a braided Lie bialgebra (i.e., a Lie bialgebra in the category ).

Braided Infinitesimal Bialgebra, Braided Lie Bialgebra, Yetter-Drinfeld Category, Balanceator

Wang, S. (2017) From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras. Advances in Pure Mathematics, 7, 366-374. doi: 10.4236/apm.2017.77023.