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.