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From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras
Department of Mathematics, Nanjing University, Nanjing, China
School of Mathematics and Finance, Chuzhou University, Chuzhou, China
- 1 Department of Mathematics, Nanjing University, Nanjing, China
- 2 School of Mathematics and Finance, Chuzhou University, Chuzhou, China
Advances in Pure Mathematics·Volume 07 (2017)·Pages 366–374·Published 6 July 2017·DOI10.4236/apm.2017.77023
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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 ).
KeywordsBraided Infinitesimal BialgebraBraided Lie BialgebraYetter-Drinfeld CategoryBalanceator
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