  In the cabling procedure for HOMFLY polynomials colored HOMFLY polynomials of
a knot are obtained from ordinary HOMFLY of the cabled knot with extra twists
added. Thus colored polynomials can be seen as relation between HOMFLYs of
cabled knot with different twists. In present work we search for relations of
such type in Khovanov-Rozansky homologies and investigate, why no
generalizations of Khovanov-Rozansky homologies to non-skew-symmetric
representations have been constructed. We consider the simplest possible case,
i.e. the unknot colored in (11)- and (2)-representations. Naive t-deformation
of HOMFLY relation failed to exist in both cases. In case of
(11)-representation we have succeeded after a switch to a homological
description and that led us to a conjecture about Khovanov-Rozansky homologies
of torus knots $T(2,k)$. The (2)-case provides only framing-dependent answers
and no simple rule of transformation, such as q,t-shift is seen. We have shown
that in our procedure the number of whose nontrivial components with different
t-gradings depends on the choice of unknot framing.
