The Half-period Addition Formulae for Genus Two Hyperelliptic $\wp$ Functions and the Sp(4,$\mathbb{R}$) Lie Group Structure
| Autor: | Hayashi, Masahito, Shigemoto, Kazuyasu, Tsukioka, Takuya |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | J. Phys. Commun. 6 (2022) 085004 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/2399-6528/ac8521 |
| Popis: | 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. Comment: 16 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|