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 Yang D., it Frobenius ca tegories, Gorenstein algebras and rational surface singularities, Comp
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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}].