  We consider (1+1) dimensional theory for a single self-dual chiral boson as
classical model for gauge theory. Using Batalin-Fradkin-Vilkovisky (BFV)
technique the nilpotent BRST and anti BRST symmetry transformations for this
theory have been studied. In this model other forms of nilpotent symmetry
transformations like co-BRST and anti co-BRST which leave the gauge-fixing part
of the action invariant, are also explored. We show that the nilpotent charges
for these symmetry transformations satisfy the algebra of de Rham cohomological
operators in differential geometry. The Hodge decomposition theorem on compact
manifold is also studied in the context of conserved charges.
