Hidden symmetries in deformed very special relativity

We study particle dynamics in a space-time invariant under the DISIMb(2) group-the deformation of the ISIM(2) symmetry group of very special relativity. We find that the Lorentz violation leads to the creation of higher order (hidden) symmetries, which are connected to those broken at the space-time level. Through the perspective of the conserved quantities of the special relativistic case, the Lorentz violation is linked to specific noncommutative relations in phase space.