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nlin.SI2022
The Lie Group Structure of Elliptic/Hyperelliptic Functions
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We consider the generalized dual transformation for elliptic/hyperelliptic functions up to genus three. For the genus one case, from the algebraic addition formula, we deduce…
nlin.SI2022★ 1 cited
The Half-period Addition Formulae for Genus Two Hyperelliptic Functions and the Sp(4,) Lie Group Structure
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
In the previous study, by using the two-flows Kowalevski top, we have demonstrated that the genus two hyperelliptic functions provide the Sp(4,)/ SO(3,2) L…