  The algebraic content of chiral symmetry constrains the strong interactions
of mesons containing a single heavy quark. We show that the S-wave single-pion
transition amplitudes of all heavy meson states are determined as a consequence
of the participation of these states in reducible multiplets of unbroken
$SU(2)_L\times SU(2)_R$. We find this representation content by making use of
phenomenologically inspired Lie-algebraic sum rules, together with QCD
constraints on the heavy meson spectrum in the heavy quark limit. For example,
the transition amplitude for the process $P^*\rightarrow P\pi$, where $P$ is a
$D$ or a $B$ meson, is predicted to vanish. We also consider the Kaon system in
light of our general conclusions for $I=\oneh$ states.
