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has been cited by the following article:

• TITLE: Poisson (Co)homology of a Class of Frobenius Poisson Algbras

  AUTHORS: Mengyao Wang

  KEYWORDS: Poisson Algebra, Poisson (Co)homology, Twisted Poisson Module, Twisted Poincaré Duality

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.3, March 23, 2018

  ABSTRACT: 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.