  We study the symmetries of the Lorentz violating Randers-Finsler spacetime.
The privileged frame defined by the background vector diagonalises the deformed
mass-shell and provides an anisotropic observer transformations. The particle
Randers transformations are achieved through the Finslerian Killing equation
which also shows the equivalence between observer and particle Randers
transformation. For a constant background vector, the Randers transformations
can be regarded as a deformed directional-dependent Poincar\'e transformation.
The Randers algebra is a deformed Poincar\'e algebra whose structure
coefficients are given by the Randers metric. We propose a field theory
invariant over the Randers transformations. The dynamics exhibits nonlocal
operators which yields to Lorentz violating terms of the nonminimal SME. The
relation and implications of the Randers algebra with other Lorentz violating
theories are discussed.

High Energy Physics - Theory;General Relativity and Quantum Cosmology