Athorne, Chris; Eilbeck, J. C.; Enolskii, V. Z. A \(\text{SL}(2)\) covariant theory of genus 2 hyperelliptic functions. (English) Zbl 1063.33001 Math. Proc. Camb. Philos. Soc. 136, No. 2, 269-286 (2004). In this note the authors consider the family of genus two plane curves \[ y^2=\lambda_6x^6+\lambda_5x^5+\lambda_4x^4+ \lambda_3x^3+\lambda_2x^2+\lambda_1x+\lambda_0. \] They give an algebraic formulation of their functions in terms of \(\text{SL}_2({\mathbb C})\) representations, allowing a simple interpretation of all identities in representation theory terms. Reviewer: Ruben A. Hidalgo (Valparaiso) Cited in 1 ReviewCited in 3 Documents MSC: 14H42 Theta functions and curves; Schottky problem 13A50 Actions of groups on commutative rings; invariant theory 14H45 Special algebraic curves and curves of low genus 14H70 Relationships between algebraic curves and integrable systems 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature Keywords:Hyperelliptic algebraic curves PDFBibTeX XMLCite \textit{C. Athorne} et al., Math. Proc. Camb. Philos. Soc. 136, No. 2, 269--286 (2004; Zbl 1063.33001) Full Text: DOI