Poisson (Co)homology of a Class of Frobenius Poisson Algbras - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.3, March 2018

Poisson (Co)homology of a Class of Frobenius Poisson Algbras ()

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Download as PDF (Size: 425KB) PP. 530-553

DOI: 10.4236/jamp.2018.63048 900 Downloads 1,617 Views Citations

Author(s)

Mengyao Wang

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

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.

KEYWORDS

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

Share and Cite:

Wang, M. (2018) Poisson (Co)homology of a Class of Frobenius Poisson Algbras. Journal of Applied Mathematics and Physics, 6, 530-553. doi: 10.4236/jamp.2018.63048.

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