Matched differential geometry on the quantum groups GLq(2, C) and SLq(2, C)
Akulov V. P. , Gershun V. D. , Gumenchuk A. I.
A matched differential geometry is constructed on the quantum groups GLg(2,C) and SLq(29C). The vector-field algebra is found by requiring that the quantum determinant commute with right and left 1-forms.