Ad. Jacobs et Jf. Cornwell, TWISTING 2-COCYCLES FOR THE CONSTRUCTION OF NEW NONSTANDARD QUANTUM GROUPS, Journal of mathematical physics, 38(10), 1997, pp. 5383-5401
We introduce a new class of 2-cocycles defined explicitly on the gener
ators of certain multiparameter standard quantum groups. These allow u
s, through the process of twisting the familiar standard quantum group
s, to generate new as well as previously known examples of non-standar
d quantum groups. In particular we are able to construct generalisatio
ns of both the Cremmer-Gervais deformation of SL(3) and the so called
esoteric quantum groups of Fronsdal and Galindo in an explicit and str
aightforward manner. (C) 1997 American Institute of Physics.