Covariant Hyperelliptic Functions of Genus Two

Author: Athorne C.  

Publisher: Springer Publishing Company

ISSN: 0040-5779

Source: Theoretical and Mathematical Physics, Vol.137, Iss.1, 2003-10, pp. : 1359-1366

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Abstract

We report results of investigations concerning the role of representations of SL_2(\mathbb{C}) in the theory of genus-two hyperelliptic functions. We discuss the role of these representations in the classical theory as well as introduce a family of new, naturally covariant \mathcal{P} functions.