A categorification of finite-dimensional irreducible representations of quantum $${\mathfrak{sl}_2}$$ and their tensor products

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A diagrammatic approach to categorification of quantum groups II (2008, methodology): “This model was given a categorical interpretation by Grojnowski and Lusztig [15] and later reinterpreted, for N = 2, via translation and Zuckerman functors in [6], with various generalizations constructed in [ 13 ], [44], [48], and in a very recent striking work [49].”
Categorification of (induced) cell modules and the rough structure of generalized Verma modules (2007, unknown): “For completeness we would like to formulate here a categorical version of the Schur–Weyl duality generalising the approach of [21].”
Categorified Quantum sl(2) and Equivariant Cohomology of Iterated Flag Varieties (2008, methodology): “Many examples of sl2-categorifications appear in [1] and also in the graded setting in [ 7 ].”
A categorification of quantum sl(n) (2008, background): “sl2/-representation [3], [10], each canonical basis element of P U acts as an indecomposable projective functor or as the zero functor.”
Categorifying fractional Euler characteristics, Jones–Wenzl projectors and 3j-symbols (2012, background): “The categorification from [24], Section 6.”