On the quantum Kazhdan-Lusztig functor

Details On the quantum Kazhdan-Lusztig functor On the quantum Kazhdan-Lusztig functor

2002-02-28

arxiv.org/abs/math/0203003v2

Mathematics

Quantum Algebra

13 pages. New section added

Scientific paper

We study a quantum version of the Kazhdan-Lusztig functor. Namely, we prove
that there exists a fully faithfull exact tensor functor from the category of
finite dimensional representations of the quantum affine algebra Uq(sl(n))
(with extended scalars) to the category of finite dimensional representations
of Felder's elliptic quantum group E_{\tau,\gamma2}(gl(n)).

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