We have measured the mobility of surface state electrons (SSE) on liqu
id He-3, mu(3), aiming to study the elementary surface excitations of
the Fermi liquid. A gradual increase of mu(3) below 300 mK is attribut
ed to the scattering of electrons by ripplons. Ripplons do exist in He
-3 down to 100 mK. We observe an abrupt decrease of mu(3), due to the
transition to the Wigner solid (WS). The dependences of the WS conduct
ivity and mobility on temperature and magnetic field differ from the S
SE behavior on liquid He-4.