Determine for the monoid ring K [ X , Y , Z ] / ( Z 2 − X Y ) {\displaystyle {}K[X,Y,Z]/(Z^{2}-XY)} the canonical unitary differential operators (and their order) for the monomials
![{\displaystyle {}K[X,Y,Z]/(Z^{2}-XY)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/41e72a3fceec6ed43d342271f7b1c3a1b91e824f)
