Howe Duality for Quantum Queer Superalgebras

Zhihua Chang, Yongjie Wang

We establish a new Howe duality between a pair of quantum queer superalgebras $({\mathrm{U}}_{q^{-1}}({\mathfrak{q}}_n),{\mathrm{U}}_q({\mathfrak{q}}_m))$. The key ingredient is the const…