论文标题
谎言代数的尊重分解
Respectful decompositions of Lie algebras
论文作者
论文摘要
皮埃尔·莫利诺（Pierre Molino）的主要数学成就之一是他的里曼尼（Riemannian）叶子理论。他的最后一篇论文之一于2001年发表，表明他的理论可以扩展到一大批不可融合分布。这里的关键示例是lie代数$ \ mathfrak {g} $的\ emph {尊重分解};这是矢量空间分解$ \ mathfrak {g} = h+v $，使得$ [v，h] \ subseteq h $。本文将研究尊重分解的基本特性。
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.
