摘要
In this paper, we study the truncated polynomial algebra L in n variables, and discuss the following four problems in detail: 1) Homology complex and homology group of Poisson algebra L;2) Given a new Poisson bracket by calculation modular derivation of Frobenius Poisson algebra;3) Calculate the twisted homology group of Poisson algebra L;4) Verify the theorem of twisted Poincaré duality between twisted Poisson homology and Poisson Cohomology.
In this paper, we study the truncated polynomial algebra L in n variables, and discuss the following four problems in detail: 1) Homology complex and homology group of Poisson algebra L;2) Given a new Poisson bracket by calculation modular derivation of Frobenius Poisson algebra;3) Calculate the twisted homology group of Poisson algebra L;4) Verify the theorem of twisted Poincaré duality between twisted Poisson homology and Poisson Cohomology.
