Skew Howe duality and limit shapes of Young diagrams

Anton Nazarov, Olga Postnova, Travis Scrimshaw

We consider the skew Howe duality for the action of certain dual pairs of Lie groups $(G_1,G_2)$ on the exterior algebra $\bigwedge ({\mathbb{C}}^n\otimes {\mathbb{C}}^k)$ as a pr…