Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld
  category and the category of Uq(g)-modules   We discuss the proof of Kazhdan and Lusztig of the equivalence of the
Drinfeld category D(g,h) of g-modules and the category of finite dimensional
Uq(g)-modules, q=exp(\pi ih), for h\in C\Q*. Aiming at operator algebraists the
result is formulated as the existence for each h\in iR of a normalized unitary
2-cochain F on the dual \hat G of a compact simple Lie group G such that the
convolution algebra of G with the coproduct twisted by F is *-isomorphic to the
convolution algebra of the q-deformation G_q of G, while the coboundary of
F^{-1} coincides with Drinfeld's KZ-associator defined via monodromy of the
Knizhnik-Zamolodchikov equations.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc