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All bicovariant first order differential calculi on the quantum groupGLq(3,C) are determined. There are two distinct one-parameter families ofcalculi. In terms of a suitable basis of 1-forms the commutation relations canbe expressed with the help of the R-matrix of GLq(3,C). Some calculi inducebicovariant differential calculi on SLq(3,C) and on real forms of GLq(3,C). Forgeneric deformation parameter q there are six calculi on SLq(3,C), on SUq(3)there are only two. The classical limit q-->1 of bicovariant calculi onSLq(3,C) is not the ordinary calculus on SL(3,C). One obtains a deformation ofit which involves the Cartan-Killing metric.Comment: 24 pages, LaTe

All bicovariant differential calculuses on GLq(3,C) and SLq(3,C)

All bicovariant differential calculuses on GL_q(3,C) and SL_q(3,C)