Twisting 2-cocycles for the construction of new non-standard quantum groups

We introduce a new class of 2-cocycles defined explicitly on the generators of certain multiparameter standard quantum groups. These allow us, through the process of twisting the familiar standard quantum groups, to generate new as well as previously known examples of non-standard quantum groups. In particular we are able to construct generalizations of both the Cremmer-Gervais deformation of SL(3), and the so called esoteric quantum groups of Fronsdal and Galindo, in an explicit and straightforward manner