  A theory of anyon excitons consisting of a valence hole and three
quasielectrons with electric charges $(-e/3)$ is presented. A full symmetry
classification of the $k=0$ states is given, where $k$ is the exciton momentum.
The energy levels of these states are expressed by quadratures of confluent
hypergeometric functions. It is shown that the angular momentum $L$ of the
exciton ground state depends on the distance between electron and hole
confinement planes and takes the values $L=3n$, where $n$ is an integer. With
increasing $k$ the electron density shows a spectacular splitting on bundles.
At first a single anyon splits off of the two-anyon core, and finally all
anyons become separated.
