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math.QA2022★ 2 cited
Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras
Chengming Bai, Li Guo, Guilai Liu +1
We establish a bialgebra structure on Rota-Baxter Lie algebras following the Manin triple approach to Lie bialgebras. Explicitly, Rota-Baxter Lie bialgebras are characterized by ge…
math.RA2022★ 1 cited
Double crossed biproducts and related structures
Tianshui Ma, Jie Li, Haiyan Yang +1
Let be a bialgebra. Let be a linear map, where is a left -comodule coalgebra, and an algebra with a left -weak action . Let $τ: H…
math.RA2022
Transposed BiHom-Poisson algebras
Tianshui Ma, Bei Li
In this paper, we introduce the concept of transposed BiHom-Poisson (abbr. TBP) algebras which can be constructed by the BiHom-Novikov-Poisson algebras. Several useful identities f…