关于Whitehead Theorem
A converse to the Whitehead Theorem
摘要：
我们证明了特征为零的域上的有限维李代数使得它们在任意有限维非平凡不可约模上的高次上同调为零，它们本质上是半单和幂零代数代数的直和.
英文摘要：
We show that finite-dimensional Lie algebras over a field of characteristic zero such that their high-degree cohomology in any finite-dimensional non-trivial irreducible module vanishes, are, essentially, direct sums of semisimple and nilpotent algebras.
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。
