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math.QA2026
The Kazhdan-Lusztig category of at irrational levels
Thomas Creutzig, Robert McRae, Jinwei Yang
We prove the Kazhdan-Lusztig correspondence for the Lie superalgebra at irrational levels, that is, we show the category $\mathrm{KL}_k^{\rm ev}(\mathfrak{o…
math.QA2026
Cocompletions for non-abelian vertex tensor categories
Robert McRae, Cris Negron
It was recently shown by Huang that the category of -cofinite modules for any vertex operator algebra admits a natural braided monoidal structure. Here, we show that this…