November 21, Wednesday, 18:30, room 306

Ilya Dumanskiy

PBW filtration and FFLV basis in type A (continued)

Abstract: Last time we constructed a generating set in an irreducible representation of SL(n). This set is compatible with the PBW filtration and its elements are parameterized by lattice points in a convex polytope (called Feigin-Fourier-Littelmann-Vinberg polytope). By counting the number of lattice points in FFLV polytopes we prove that this generating set is in fact a basis. We remind all definitions and constructions from the previous talk.