  We propose a microscopic mechanism for triplet pairing due to
spin-orbit-assisted electron interaction with optical phonons in a crystal with
a complex unit cell. Using two examples of electrons with symmetric Fermi
surfaces in crystals with either a cubic or a layered square lattice, we show
that spin-orbit-assisted electron-phonon coupling can, indeed, generate triplet
pairing and that, in each case, it predetermines the tensor structure of a
p-wave order parameter.
