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On the quantum Kazhdan-Lusztig functor

Pavel Etingof·Adriano Moura
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Abstract

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_{τ,\gamma2}(gl(n)).

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BibTeXRIS

Pavel Etingof, Adriano Moura. 2002-04-24. On the quantum Kazhdan-Lusztig functor. https://arxiv.org/abs/math/0203003

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