Quantum (dual) Grassmann superalgebra as ${\mathcal{U}}_q(\mathfrak{gl}(m|n))$-module algebra and beyond

Ge Feng, Naihong Hu, Meirong Zhang +1

We introduce and define the quantum affine $(m|n)$-superspace (or say quantum Manin superspace) $A_q^{m|n}$ and its dual object, the quantum Grassmann superalgebra ${\Omega }_q(m|n)$. Corr…