Abstract
A braided tensor category
F
M
κ
of `factorizable D-modules' over configuration spaces is introduced, analogous to the category
F
S
q
of factorizable sheaves from q-alg/9604001. This category is equivalent to the category of finite dimensional representations of a complex semisimple Lie algebra
g
, with the Drinfeld's Knizhnik-Zamolodchikov tensor product. This description, together with the result of op.cit., gives a new, "Riemann-Hilbert" proof of the Drinfeld's theorem establishing an equivalence of the above tensor category with the category of finite dimensional
U
q
g
-modules (
q=exp(2πi/kappa)
,
κ
irrational).