  A construction is given of a family of non-standard quantizations of the
algebra of functions on a connected complex semi-simple algebraic group. For
each ``disjoint'' triple in the sense of Belavin and Drinfeld, a 2-cocycle is
constructed on certain multi-parameter quantum groups. The new non-standard
quantum groups are the Hopf algebras obtained by twisting the known quantum
groups by these 2-cocycles. In particular, the Cremmer-Gervais quantization of
$SL(3)$ can be constructed in this way.
