Auslander algebra subcategories yield an additive categorification of cluster structures on flag varieties and establish that the quantum coordinate ring of Fl(J) is a quantum cluster algebra over C[q^{1/2}, q^{-1/2}].
and Towber J., Quantum deformation of flag schemes and Grassmann schemes I
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Auslander algebras, flag combinatorics and quantum flag varieties
Auslander algebra subcategories yield an additive categorification of cluster structures on flag varieties and establish that the quantum coordinate ring of Fl(J) is a quantum cluster algebra over C[q^{1/2}, q^{-1/2}].