论文标题
属属的半个周期添加公式，两个过elliptic $ \ wp $函数和sp（4，$ \ mathbb {r} $）lie group结构
The Half-period Addition Formulae for Genus Two Hyperelliptic $\wp$ Functions and the Sp(4,$\mathbb{R}$) Lie Group Structure
论文作者
论文摘要
在先前的研究中，通过使用两流kowalevski上衣，我们证明了两个属的双椭圆函数提供了SP（4，4，4，$ \ MATHBB {r} $）/$ Z_2 $ $ \ cong $ so（3,2）lie代数结构。在这项研究中，通过直接使用属属的微分方程，而不是使用可集成模型，我们证明了属属的半个周期添加公式两个过椭圆形函数提供了两个SP（4，$ \ MATHBB {R}）lie组结构。
In the previous study, by using the two-flows Kowalevski top, we have demonstrated that the genus two hyperelliptic functions provide the Sp(4,$\mathbb{R}$)/$Z_2$ $\cong$ SO(3,2) Lie algebra structure. In this study, by directly using the differential equations of the genus two hyperelliptic $\wp$ functions instead of using integrable models, we demonstrate that the half-period addition formula for the genus two hyperelliptic functions provides the order two Sp(4,$\mathbb{R}$) Lie group structure.
