  We compute characters of the BMS group in three dimensions. The approach is
the same as that performed by Witten in the case of coadjoint orbits of the
Virasoro group in the eighties, within the large central charge approximation.
The procedure involves finding a Poisson bracket between classical variables
and the corresponding commutator of observables in a Hilbert space, explaining
why we call this a quantization. We provide first a pedagogical warm up by
applying the method to both SL(2,R) and Poincar\'{e}3 groups. As for BMS3, our
results coincide with the characters of induced representations recently
studied in the literature. Moreover, we relate the 'coadjoint representations'
to the induced representations.
