  Motivated by a recent conjecture of Zabrocki, Wallach described the
alternants in the super-coinvariant algebra of the symmetric group in one set
of commuting and one set of anti-commuting variables under the diagonal action.
We give a type-independent generalization of Wallach's result to all real
reflection groups $G$. As an intermediate step, we explicitly describe the
alternating super-polynomials in $k[V] \otimes \Lambda(V)$ for all complex
reflection groups, providing an analogue of a classic result of Solomon which
describes the invariant super-polynomials in $k[V] \otimes \Lambda(V^*)$. Using
our construction, we explicitly describe the alternating harmonics and
coinvariants for all real reflection groups.
