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math.QA2025
Semisimple module categories with fusion rules of the compact flag manifold type
Mao Hoshino
We classify semisimple left module categories over the representation category of a type A quantum group whose fusion rules arise from Levi subalgebras. The classification is conne…
math.QA2024
Polynomial families of quantum semisimple coadjoint orbits via deformed quantum enveloping algebras
Mao Hoshino
We construct a polynomial family of semisimple left module categories over the representation category of the Drinfeld-Jimbo deformation, with the fusion rule of the representation…