Modular Invariants and Generalized Halphen Systems

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Generalized Halphen systems are solved in terms of functions that uniformize genus zero Riemann surfaces, with automorphism groups that are commensurable with the modular group. Rational maps relating these functions imply subgroup relations between their automorphism groups and symmetrization relations between the associated differential systems.
PlainTeX 15gs. Write - up of lecture by J. Harnad at International meeting: SIDE III, Sabaudia, May 16-22, 1998. To appear in CRM Proceedings and Lecture Notes series (1999/2000)

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics, Dynamical Systems, Group Theory, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/94497

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9902012
 http://arxiv.org/abs/solv-int/9902012
 CRM Proceedings and Lecture Notes Series 25, Symmetries and Integrability of Difference Equations, pp. 181- 195 (eds. Decio Levy and Orlando Ragnisco, AMS, Providence R.I., 2000)

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