“…There have been several interesting developments of Zinbiel algebras in combinatorics and in other fields of mathematics, such as algebraic topology, algebraic groups, Lie algebras. Recently, the concept of Zinbiel coalgebras and bialgebras was introduced in [15].…”
We introduce the concept of braided Zinbiel bialgebras and construct cocycle bicrossproducts Zinbiel bialgebras. As an application, we solve the extending problem for Zinbiel bialgebras by using some non-abelian cohomology theory.
“…There have been several interesting developments of Zinbiel algebras in combinatorics and in other fields of mathematics, such as algebraic topology, algebraic groups, Lie algebras. Recently, the concept of Zinbiel coalgebras and bialgebras was introduced in [15].…”
We introduce the concept of braided Zinbiel bialgebras and construct cocycle bicrossproducts Zinbiel bialgebras. As an application, we solve the extending problem for Zinbiel bialgebras by using some non-abelian cohomology theory.
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