TITLE:
From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras
AUTHORS:
Shengxiang Wang
KEYWORDS:
Braided Infinitesimal Bialgebra, Braided Lie Bialgebra, Yetter-Drinfeld Category, Balanceator
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.7 No.7,
July
17,
2017
ABSTRACT: 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 ).