  We present a novel approach to the Bose polaron based on the notion of
quantum groups, also known as $q$-deformed Lie algebras. In this approach, a
mobile impurity can be depicted as a deformation of the Lie algebra of the
bosonic creation and annihilation operators of the bath, in which the impurity
is immersed. Accordingly, the Bose polaron can be described as a bath of
noninteracting $q$-deformed bosons, which allows us to provide an analytical
formulation of the Bose polaron at arbitrary couplings. Particularly, we derive
its ground state energy in the phonon branch of the Bogoliubov dispersion and
demonstrate that the previously observed transition from a repulsive to an
attractive polaron occurs at the vicinity where the quantum group symmetry is
broken. Furthermore, our approach has the potential to open up new avenues in
polaron physics by connecting it with seemingly unrelated research topics where
quantum groups play an essential role, such as anyons.
