  The doubly charged Higgs bosons $\Delta^{--}$ that are present in exotic
Higgs representations can have lepton-number-violating couplings to $e^-e^-$.
We discuss general constraints and phenomenology for the $\Delta^{--}$ and
demonstrate that extremely small values for the $e^-e^-\rightarrow\Delta^{--}$
coupling (some 8 orders of magnitude smaller than the current limit) would
produce observable signals for $\Delta^{--}$ production in direct $s$-channel
production at an $e^-e^-$ collider.
