2 papers
math.RT2026
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…
math.QA2025
Noncommutative Hamiltonian structures and quantizations on preprojective algebras
Hu Zhao
Given a noncommutative Hamiltonian space , we prove that the conjecture ``{\it quantization commutes with reduction}'' holds for . We further construct a semidirect product a…