  Let $G$ be a semisimple Lie group with a maximal torus $T$. We present an
explicit formula for the Borel transgression $\tau :H^{1}(T)\rightarrow
H^{2}(G/T)$ of the fibration $G\rightarrow G/T$. This formula corrects an error
in the paper \cite{K}, and has been applied to construct the integral
cohomology rings of compact Lie groups in the sequel works \cite{D,DZ2}.
