# On Lie superalgebroids of Poisson type

## TL;DR

This paper investigates Lie superalgebroid structures on superdifferential forms over supermanifolds, constructed from graded Poisson structures, advancing the understanding of their algebraic and geometric properties.

## Contribution

It introduces a novel construction of Lie superalgebroids from graded Poisson structures on supermanifolds' differential forms.

## Key findings

- Established a correspondence between graded Poisson structures and Lie superalgebroids.
- Provided explicit examples illustrating the construction.
- Enhanced the theoretical framework connecting supergeometry and algebraic structures.

## Abstract

The purpose of this work is to study Lie superalgebroid structures on the space of superdifferential $1$-forms over the supermanifolds whose superfunctions are the differential forms on its underlying manifold. These superalgbroids are constructed from graded Poisson structures defined on the latter superalgebra.