Hochschild-Serre Statement for the total cohomology

let m be a complex manifold and f a om-module with a g-holomorphic action where g is a complex lie algebra (cf. [3]). we denote by h(g, f) the "total cohomology" as defined in [1] [2]. then we prove that, for any ideal a c g,the module h* (a, f) viewed as a g/a-module, we have a spectral sequence which converges to h(g, f)