Cohomology computations of solvmanifolds with local coefficients
  Let $G$ be a simply connected solvable Lie group with a lattice $\Gamma$ and $N$ the nilradical of $G$. For a complex valued representation $\rho: G\to GL(V_{\rho})$ such that the restriction $\rho_{|_{N}}$ is unipotent, as an advanced variation of cohomology computation of solvmanifolds by using Lie algebra cohomology, we construct a explicit finite dimensional cochain complex whose cohomology is isomorphic to the cohomology of $G/\Gamma$ with twisted by $\rho$. 
Hisashi Kasuya
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