  Function spaces are central topic in analysis. Often those spaces and related
analysis involves symmetries in form of an action of a Lie group. Coorbit
theory as introduced by Feichtinger and Gr\"ochenig and then later extended in
[3] gives a unified method to construct Banach spaces of functions based on
representations of Lie groups. In this article we identify the homogeneous
Besov spaces on stratified Lie groups introduced in [13] as coorbit spaces in
the sense of [3] and use this to derive atomic decompositions for the Besov
spaces.
