Weyl modules for Equivariant map Lie superalgebras

We define Weyl functors, global modules for equivariant map Lie superalgebras $(\text{g}\otimes A{)}^{\mathrm{\Gamma }}$, where $\text{g}$ is basic classical $\mathbb{C}$- Lie superalgebra and $A$ is an associative commutative unital $\mathbb{C}$-algebra. Under certain condition on the triangular decomposition of $\text{g}$ we prove that global Weyl modules are universal highest weight objects in certain category. Then with the assumption that $A$ is finitely generated, it is shown that the global Weyl modules are finitely generated.