The fermionic quantum plane and SUSY quantum groups

Question

I propose to define the fermionic quantum plane as:

$xy+yx=\frac{q-1}{q+1}(x^2+y^2)$

For $q=1$, I have the fermionic plane $xy=-yx$.

Is there a fermionic quantum group, called $\hat U_q(sl_2)$, for the transformations of the fermionic quantum plane? like the quantum group $U_q (sl_2)$ for the $q$-plane (see Kassel, "Quantum groups", Springer-Verlag).

It would be also possible to define the SUSY quantum groups $U_q (sl(n,m))$.