114 citations · 500 across the 43 of their papers we have counts for
5 papers · 1 filter
Cyclic sieving, rotation, and geometric representation theory
Bruce Fontaine, Joel Kamnitzer
We study rotation of invariant vectors in tensor products of minuscule representations. We define a combinatorial notion of rotation of minuscule Littelmann paths. Using affine Gra…
Réflexions dans un cristal
Pierre Baumann, Stéphane Gaussent, Joel Kamnitzer
Let g = n^- + h + n^+ be a symmetrizable Kac-Moody algebra. Let B(\infty) be the Kashiwara crystal of U_q(n^-), let λbe a dominant integral weight, let T_λ= {t_λ} be the crystal wi…
Webs and quantum skew Howe duality
Sabin Cautis, Joel Kamnitzer, Scott Morrison
We give a diagrammatic presentation in terms of generators mod relations of the representation category of . More precisely, we produce all the relations amon…
Yangians and quantizations of slices in the affine Grassmannian
Joel Kamnitzer, Ben Webster, Alex Weekes +1
We study quantizations of transverse slices to Schubert varieties in the affine Grassmannian. The quantization is constructed using quantum groups called shifted Yangians --- these…
Rank 2 affine MV polytopes
Pierre Baumann, Thomas Dunlap, Joel Kamnitzer +1
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 character…