局部系数解流形的上同调计算
Cohomology computations of solvmanifolds with local coefficients
摘要：
设$G$是一个单连通可解李群，其格为$Γ$，$N$是$G$的幂零根.对于复值表示$ρ: G\to GL(V_ρ)$，当约束$ρ_{|_{N}}$是幂幺的时，作为利用李代数上同调计算解流形上同调的一种改进，我们构造了一个显式有限维上链复形，它的上同调同构于$ρ$扭曲的$G/Γ$的上同调.
英文摘要：
Let $G$ be a simply connected solvable Lie group with a lattice $Γ$ and $N$ the nilradical of $G$. For a complex valued representation $ρ: G\to GL(V_ρ)$ such that the restriction $ρ_{|_{N}}$ 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 $G/Γ$ with twisted by $ρ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
