The production of negative strangeness in reactions of inelastic antineutri
no scattering on a nucleus provides information on the modification of stra
nge degrees of freedom in nuclear matter. We calculate cross sections of th
e reaction channels <(nu)over bar>(e(mu)) --> e(+) (mu(+)) + K- and <(nu)ov
er bar>(e(mu)) + p --> Lambda + e(+) (mu(+)) and investigate their sensitiv
ity to the medium effects. In particular, we consider effects induced by th
e presence of a low-energy excitation mode in the K-spectrum, associated wi
th correlated Lambda-particle and proton-hole states, and by renormalizatio
n of the weak interaction in medium. In order to avoid double counting, var
ious contributions to antineutrino scattering are classified with the help
of the optical theorem, formulated within the nonequilibrium Green's functi
on technique. [S0556-2813(99)01007-9].