论文标题
简单谎言代数及其相关多项式代数的包裹代数的分解
Decomposition of enveloping algebras of simple Lie algebras and their related polynomial algebras
论文作者
论文摘要
简单谎言代数的包围代数的分解问题是重新考虑的结合分析方法和代数方法，表明其与内部标记问题相对于nilpotent subgergebra的关系。获得了换向物的发电机数量以及最大的Abelian subgerbra的下限。出色的谎言代数$ g_2 $的分解问题已完全解决。
The decomposition problem of the enveloping algebra of a simple Lie algebra is reconsidered combining both the analytical and the algebraic approach, showing its relation with the internal labelling problem with respect to a nilpotent subalgebra. A lower bound for the number of generators of the commutant as well as the maximal Abelian subalgebra are obtained. The decomposition problem for the exceptional Lie algebra $G_2$ is completely solved.
