  We study representation theory of quantizations of Nakajima quiver varieties
associated to bouquet quivers. We show that there are no finite dimensional
representations of the quantizations $\overline{\mathcal{A}}_{\lambda}(n,
\ell)$ if dim $V=n$ is greater than $1$ and so is the number of loops $\ell$.
We find that there is a Hamiltonian torus action with finitely many fixed
points in case $n\leq 3$, provide the dimensions of Hom-spaces between standard
objects in category $\mathcal{O}$ and compute the multiplicities of simples in
standards for $n=2$ in case of one-dimensional framing and generic
one-parameter subgroups. We establish the abelian localisation theorem and find
the values of parameters, for which the quantizations have infinite homological
dimension.
