  In this work we introduce a bosonization scheme for the low energy
excitations of a 2D interacting electron gas in the presence of an uniform
magnetic field under conditions where a large integral number of Landau levels
are filled. We give an explicit construction for the electron operator in terms
of the bosons. We show that the elementary neutral excitations, known as the
magnetic excitons or magnetoplasma modes, can be described within a bosonic
language and that it provides a quadratic bosonic Hamiltonian for the
interacting electron system which can be easily diagonalized.
