  We consider the M(2,3) Minimal Liouville gravity, whose states in the gravity
sector are represented by irreducible modules of the Virasoro algebra. We
present a recursive construction for BRST cohomology classes. This construction
is based on using an explicit form of singular vectors in irreducible modules
of the Virasoro algebra. We construct an algebra of operators acting on the
BRST cohomology space. The operator algebra of physical states is established
by use of these operators.
