The DG Poisson Adjoint Action and its Application

Xiaojie Li, Xianguo Hu, Jiafeng Lv, Xingting Wang

Abstract

In this paper, the differential graded (DG for short) Poisson adjoint action on M is introduced, where M is a DG Poisson module over a DG Poisson Hopf algebra A. As an application, we give a new DG poisson module structure over the DG Poisson Hopf algebra A, which depends heavily on the structure of A.

Keywords

differential graded Poisson Hopf algebras, differential graded Poisson modules, the DG Poisson adjoint action

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