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

• 作者: Mengyao Wang
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: POISSON Algebra POISSON (Co)homology TWISTED POISSON Module TWISTED POINCARÉ Duality
• 年，卷（期）: 2018,（3）
• 页码范围: 530-553
• 页数: 24页
• 分类号: O1

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.