  For Dynkin quivers, we find the Laurent polynomials $\widetilde{X}_{a,
c}^{b}(v)$ and use $\widetilde{X}_{a, c}^{b}(v)$ to construct the Hall algebra
$\hc_v(\cc(\cp))$ over $\mz[v, v^{-1}]$, where $\widetilde{X}_{a,
c}^{b}(|\mf_q|)$'s are structure constants used by Bridgeland. The Laurent
polynomials $\widetilde{X}_{a, c}^{b}(v)$ are explicitly given in $A_1$ case.
As an application, we obtain the full quantum groups $U_t(\sg)$ associated to
the Dynkin quivers for arbitrary $t\not=0,\pm1$.
