2 papers
math.QA2025
Semisimple module categories with fusion rules of the compact full 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 the maximal torus. The classification is conn…
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…