$q$-deformed Howe duality for orthosymplectic Lie superalgebras

Jeong Bae, Jae-Hoon Kwon

We give a $q$-analogue of Howe duality associated to a pair $(\mf{g},G)$, where $\mf{g}$ is an orthosymplectic Lie superalgebra and $G=O_{\ell },S{p}_{2\ell }$. We define explicitly {co…