Zhang, Tao Braided Hom-Lie bialgebras. arXiv:0706.3282 Preprint, arXiv:0706.3282 [math.QA] (2007). Summary: We introduce the new concept of braided Hom-Lie bialgebras which is a generalization of Sommerhäuser-Majid’s braided Lie bialgebras and Yau’s Hom-Lie bialgebras. Using this concept we give the unified product construction for Hom-Lie bialgebras which can be seen as a Hom-Lie version of Bespalov-Drabant’s cocycle cross product bialgebras. Some special cases of unified products such as crossed product and matched pair of braided Hom-Lie bialgebras are investigated. As an application, we solve the Agore-Militaru extending problem for Hom-Lie bialgebras by using some non-abelian cohomology theory. Furthermore, one dimensional flag extending structures for Hom-Lie bialgebras are also investigated. MSC: 17B61 Hom-Lie and related algebras 17B62 Lie bialgebras; Lie coalgebras 17B38 Yang-Baxter equations and Rota-Baxter operators BibTeX Cite \textit{T. Zhang}, ``Braided Hom-Lie bialgebras'', Preprint, arXiv:0706.3282 [math.QA] (2007) Full Text: arXiv OA License arXiv data are taken from the arXiv OAI-PMH API. If you found a mistake, please report it directly to arXiv.