  We study a possibility to detect sleptons and flavour lepton number violation
at LHC (CMS). We investigate the production and decays of right- and
left-handed sleptons separately. We have found that for L = 10**5 1/pb it would
be possible to discover right-handed sleptons with a mass up to 350 GeV and
left-handed ones with a mass up to 350 GeV. We also investigate a possibility
to look for flavour lepton number violation in slepton decays due to the mixing
of different generations sleptons. We find that for the maximal (smu_R - se_R)
mixing it is possible to detect such effect for sleptons with a mass up to 250
GeV.
