An Extension of the Kazhdan-Lusztig Equivalence

Lin Chen; Yuchen Fu

An Extension of the Kazhdan-Lusztig Equivalence

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2111.14606 v1 pith:EC7SFFYE submitted 2021-11-29 math.RT math.AG

Lin Chen , Yuchen Fu This is my paper

classification math.RTmath.AG

keywords equivalencecategorykazhdan-lusztigrepresentationsaffinealgebraalgebrasarxiv

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original 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].

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Non-vanishing of quantum geometric Whittaker coefficients
math.RT 2025-08 conditional novelty 7.0 of 10

For any adjoint reductive group at rational Kac-Moody level, cuspidal twisted D-modules with nilpotent singular support have at least one nonzero quantum Whittaker coefficient, proved microlocally.

Pith tools