We study QCD in the regime of high parton density arising in hadronic colli
sions at large center-of-mass energy. The n-gluon amplitudes of the general
ized leading logarithmic approximation are investigated. We find identities
relating amplitudes with different numbers of gluons in the t-channel. The
se identities constrain the reggeization of the gluon in high energy QCD. T
he tensors describing the reggeization of a gluon in color space are identi
fied.