  A family of spherically symmetric solutions in the model with m-component
anisotropic fluid is considered. The metrics are defined on a manifold which
contains a product of n-1 Ricci-flat "internal" spaces. The equation of state
for any s-th component is defined by a vector U^s = (U^s_i) belonging to R^{n +
1} and obeying inequalities U^s_1 = q_s > 0, s = 1,..., m. The solutions are
governed by moduli functions H_s which are solutions of (master) non-linear
differential equations with certain boundary conditions imposed. It is shown
that for coinciding q_s = q there exists a subclass of solutions with regular
horizon when q = 1, 2, ... and U^s-vectors correspond to certain semisimple Lie
algebras. An extension of these solutions to block-orthogonal set of vectors
U^s with natural parameters q_s coinciding inside blocks is also proposed.
Generalized q-analogues of black brane solutions are suggested and q-analogue
of M_2-M_5 dyonic solution in D =11 supergravity (corresponding to the Lie
algebra A_2) is considered.
