关于幂零代数的极大可解扩张和Levi扩张的结构
On the structure of maximal solvable extensions and of Levi extensions of nilpotent algebras
摘要：
对幂零李代数n建立了幂零根同构的可解代数s的维数的一个改进的上估计。接下来，我们考虑Levi可分解代数与给定的零根n和调查可能的Levi因素的限制，从结构的特征理想n。我们提出了一个新的角度Turkowski的分类Levi可分解代数到9维。
英文摘要：
We establish an improved upper estimate on dimension of any solvable algebra s with its nilradical isomorphic to a given nilpotent Lie algebra n. Next we consider Levi decomposable algebras with a given nilradical n and investigate restrictions on possible Levi factors originating from the structure of characteristic ideals of n. We present a new perspective on Turkowski's classification of Levi decomposable algebras up to dimension 9.
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。
