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arXiv · 2111.14606

An Extension of the Kazhdan-Lusztig Equivalence

Lin Chen·Yuchen Fu
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Abstract

We prove a tamely ramified version of the Kazhdan-Lusztig equivalence using factorization algebras. More precisely, we establish an equivalence between the DG category of Iwahori-integrable affine Lie algebra representations and the DG category of representations of the "mixed" quantum group. This confirms a conjecture by D. Gaitsgory in arXiv:1810.09054 [math.RT].

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BibTeXRIS

Lin Chen, Yuchen Fu. 2021-11-29. An Extension of the Kazhdan-Lusztig Equivalence. https://arxiv.org/abs/2111.14606

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