Algebraic integrability of the two-body Ruijsenaars operator

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We study the algebra of difference operators that commute with the two-body Ruijsenaars operator, a $q$-deformation of the Lamé differential operator, for generic values of the deformation parameter. The algebra is commutative. It is the algebra of polynomial functions on an affine hyperelliptic curve $Y^2=P(X^2)$. We also compute the difference Galois group of the eigenvalue problem.
17 pages, amslatex

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Quantum Algebra, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/153617

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-alg/9610024
 http://arxiv.org/abs/q-alg/9610024

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arXiv