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Let $r,s$ be two parameters chosen from $\C^{\ast}$ such that $r^{m}s^{n}=1$implies $m=n=0$. We compute the derivations of the two-parameter quantizedenveloping algebra $\U$ and calculate its first degree Hochschild cohomologygroup. We further determine the group of algebra automorphisms for thetwo-parameter Hopf algebra $\V$. As a result, we determine the group of Hopfalgebra automorphisms for $\V$.

Derivations of the two-parameter quantized enveloping algebra $\U$