The rectangular representation of the double affine Hecke algebra via elliptic Schur-Weyl duality

David Jordan, Monica Vazirani

Given a module $M$ for the algebra ${\mathcal{D}}_{\mathtt{q}}(G)$ of quantum differential operators on $G$, and a positive integer $n$, we may equip the space $F_n^G(M)$ of invarian…