The Lie Group Structure of Genus Two Hyperelliptic ℘ Functions

Kazuyasu Shigemoto, Masahito Hayashi and Takuya Tsukioka
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Kazuyasu Shigemoto: Tezukayama University, Japan
Masahito Hayashi: Osaka Institute of Technology, Japan
Takuya Tsukioka: Bukkyo University, Japan

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 3, 27-33

Abstract: We consider the generalized dual transformation for hyperelliptic ℘ functions. For the genus two case, by constructing a quadratic invariant form, we find that hyperelliptic ℘ functions have the SO(3,2) ∼= Sp(4,R)/Z2 Lie group structure. .

Keywords: generalized dual transformation; Genus two hyperelliptic ℘ function; SO(3,2) ∼= Sp(4,R)/Z2 Lie group structure; Higher dimensional KdV equation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:3:id:14244

DOI: 10.24018/ejmath.2023.4.3.244

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