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20172025
most citedBatalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry

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math.RT2025

Shifted double Poisson structures and noncommutative Poisson extensions

Leilei Liu, Jieheng Zeng, Hu Zhao

We develop a theory of noncommutative Poisson extensions. For an augmented dg algebra \(A\), we show that any shifted double Poisson bracket on \(A\) induces a graded Lie algebra s…