论文标题
在某些谎言组上对左旋象征结构的分类
A classification of left-invariant symplectic structures on some Lie groups
论文作者
论文摘要
我们对谎言群体上的剩余象征性结构的分类感兴趣。一些分类是已知的，尤其是在低维度。在本文中，我们建立了一种新的方法来对谎言群体上的左旋象征性结构进行分类（直至自动形态和规模）。该过程基于剩余不变$ 2 $ forms的模量空间。然后，我们将程序应用于两个尺寸$ 2N $的特定谎言组，并在其上提供剩余的符号结构的分类。
We are interested in the classification of left-invariant symplectic structures on Lie groups. Some classifications are known, especially in low dimensions. In this paper we establish a new approach to classify (up to automorphism and scale) left-invariant symplectic structures on Lie groups. The procedure is based on the moduli space of left-invariant nondegenerate $2$-forms. Then we apply our procedure for two particular Lie groups of dimension $2n$ and give classifications of left-invariant symplectic structures on them.
