Skew Howe duality and q-Krawtchouk polynomial ensemble

Anton Nazarov, Pavel Nikitin, Daniil Sarafannikov

We consider the decomposition into irreducible components of the exterior algebra $\bigwedge \left({\mathbb{C}}^n\otimes {\left({\mathbb{C}}^k\right)}^{\ast }\right)$ regarded as a $GL_{n…