  We consider a finite abelian group $M$ of odd exponent $n$ with a symplectic
form $\omega: M\times M\to \mu_n$ and the Heisenberg extension $1\to \mu_n\to
H\to M\to 1$ with the commutator $\omega$. According to the Stone - von Neumann
theorem, $H$ admits an irreducible representation with the tautological central
character (defined up to a non-unique isomorphism). We construct such
irreducible representation of $H$ defined up to a unique isomorphism, so
canonical in this sense.
