## African Diaspora Journal of Mathematics

### Graded Lie Agebroids of Poisson Almost Commutative Algebras

Ferdinand Ngakeu

#### Abstract

We introduce and study the notion of abelian groups graded Lie algebroid structures on almost commutative algebras $\mathcal A$ and show that any graded Poisson bracket on $\mathcal A$ induces a graded Lie algebroid structure on the $\mathcal A$-module of 1-forms on $\mathcal A$ as in the classical Poisson manifolds. We also derive from our formalism the graded Poisson cohomology.

#### Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 20, Number 2 (2017), 95-107.

Dates
First available in Project Euclid: 9 January 2018