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math.QA2023★ 7 cited
New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures
Guilai Liu, Chengming Bai
There are two kinds of splittings of operations, namely, the classical splitting which is interpreted operadically as taking successors and another splitting which we call the seco…
math.QA2023★ 20 cited
A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras
Guilai Liu, Chengming Bai
The approach for Poisson bialgebras characterized by Manin triples with respect to the invariant bilinear forms on both the commutative associative algebras and the Lie algebras is…