  We study the Coulomb branches of 3d N=4 `star-shaped' quiver gauge theories
and their deformation quantizations, by applying algebraic techniques that have
been developed in the mathematics and physics literature over the last few
years. The algebraic techniques supply an abelianization map, which embeds the
Coulomb-branch chiral ring into a vastly simpler abelian algebra A. Relations
among chiral-ring operators, and their deformation quantization, are
canonically induced from the embedding into A. In the case of star-shaped
quivers -- whose Coulomb branches are related to Higgs branches of 4d N=2
theories of Class S -- this allows us to systematically verify known relations,
to generalize them, and to quantize them. In the quantized setting, we find
several new families of relations.
