  In this paper it is shown how the Heisenberg group of order 27 can be used to
construct quotients of degenerate Sklyanin algebras. These quotients have
properties similar to the classical Sklyanin case in the sense that they have
the same Hilbert series, the same character series and a central element of
degree 3. Regarding the central element of a 3-dimensional Sklyanin algebra, a
better way to view this using Heisenberg-invariants is shown.
