李代数的相应分解
Respectful decompositions of Lie algebras
摘要：
其中皮埃尔莫利诺的主要数学成就是他的理论黎曼foliations。他最后的论文之一，发表于2001年，表明他的理论可以扩展到一大类不可积分布。这里的关键例子是李代数$\mathfrak{g}$的\emph{respectful decomposition};这是向量空间分解$\mathfrak{g}=H+V$，使得$[V,H]\subseteq H$。本文将研究尊重分解的基本性质。
英文摘要：
One of Pierre Molino's principal mathematical achievements was his theory of Riemannian foliations. One of his last papers, published in 2001, showed that his theory could be extended to a large class of non-integrable distributions. The key example here is that of a \emph{respectful decomposition} of a Lie algebra $\mathfrak{g}$; this is vector space decomposition $\mathfrak{g}=H+V$ such that $[V,H]\subseteq H$. This paper will examine the basic properties of respectful decompositions.
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。
