  From an experimental point of view, quasielectrons and quasiholes play very
similar roles in the fractional quantum Hall effect. Nevertheless, the
theoretical description of quasielectrons is known to be much harder than the
one of quasiholes. The problem is that one obtains a singularity in the
wavefunction if one tries to naively construct the quasielectron as the inverse
of the quasihole. Here, we demonstrate that the same problem does not arise in
lattice fractional quantum Hall models. This result allows us to make detailed
investigations of the properties of quasielectrons, including their braiding
statistics and density distribution on lattices on the plane and on the torus.
We show that some of the states considered have high overlap with certain
fractional Chern insulator states. We also derive few-body Hamiltonians, for
which various states containing quasielectrons are exact ground states.
