On the quantum Kazhdan-Lusztig functor
Quantum Algebra
2007-05-23 v2 Representation Theory
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_{\tau,\gamma2}(gl(n)).
Cite
@article{arxiv.math/0203003,
title = {On the quantum Kazhdan-Lusztig functor},
author = {Pavel Etingof and Adriano Moura},
journal= {arXiv preprint arXiv:math/0203003},
year = {2007}
}
Comments
13 pages. New section added