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Cyclotomic level maps and associated varieties of simple affine vertex algebras
Peng Shan, Wenbin Yan, Qixian Zhao
In this paper, we introduce and study two cyclotomic level maps defined respectively on the set of nilpotent orbits in a complex semi-simple Lie algebra $…
math.RT2025
Monoidal categorification of genus zero skein algebras
Dylan G. L. Allegretti, Hyun Kyu Kim, Peng Shan
We prove a conjecture of the first and third named authors relating the Kauffman bracket skein algebra of a genus zero surface with boundary to a quantized -theoretic Coulomb br…