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The Quantum Kazhdan–Lusztig Conjecture for Quantum Loop Algebras

Contributed by Qiyue Tang

We prove the quantum Kazhdan–Lusztig conjecture for finite-dimensional type 1 representations of untwisted quantum loop algebras at every non-root-of-unity complex parameter.

Author comments: By posting this manuscript on this platform, I do not seek to assert ownership of the results or claim priority. I welcome anyone interested in preparing a finished account or checking the arguments; the eventual scholarly credit should go to those who undertake that work.

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Nov 12, 202676 pages

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The Quantum Kazhdan–Lusztig Conjecture for Quantum Loop Algebras

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