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We give a realization of the infinity crystal for affine sl(2) using decorated polygons. The construction and proof are combinatorial, making use of Kashiwara and Saito's characterization of the infin...
The purpose of this paper is to apply the theory of MV polytopes to the study of com-ponents of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-...