We consider theoretically the Coulomb drag effect in a wide interval of mag
netic field H and temperature Delta much less than (h) over bar omega(c), T
much less than E-F, where Delta is the width of the Landau level due to di
sorder and omega(c) is the cyclotron frequency. The quantization of the ele
ctron spectrum leads to rich parametric dependences of transresistance on t
emperature and magnetic field. In particular, new small energy scales (for
example, Delta much less than T) play the role of characteristic cut-off en
ergies (instead of the temperature at H = 0) which leads to a linear temper
ature dependence of transresistance even in a weak magnetic field. We show
that even at low temperatures T > (h) over bar omega(c) a new mechanism of
the Coulomb drag which is due to resonant tunneling of the magnetoplasmons
between the layers occurs in the system. (C) 1998 Elsevier Science B.V. All
rights reserved.