  As a continuation of \cite{JLO1}, we investigate the quantum virtual
Grothendieck ring $\frakK_q(\g)$ associated with a finite dimensional simple
Lie algebra $\g$, especially of non-simply-laced type. We establish an
isomorphism $\Uppsi_Q$ between the heart subring $\frakK_{q,Q}(\g)$ of
$\frakK_q(\g)$ associated with a Dynkin quiver $Q$ of type $\g$ and the
unipotent quantum coordinate algebra $\calA_q(\n)$ of type $\g$. This
isomorphism and the categorification theory via quiver Hecke algebras enable us
to obtain a presentation of $\frakK_q(\g)$, which reveals that $\frakK_q(\g)$
can be understood as a boson-extension of $\calA_q(\n)$. Then we show that the
automorphisms, arising from the reflections on Dynkin quivers and the
isomorphisms $\Uppsi_Q$, preserve the canonical basis $\sfL_q$ of
$\frakK_q(\g)$. Finally, we prove that such automorphisms produce a braid group
$B_\g$ action on $\frakK_q(\g)$.
