dorsal/arxiv
View SchemaAlgebraic integrability of the two-body Ruijsenaars operator
| Authors | Giovanni Felder, Alexander Varchenko |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610024 |
| URL | https://arxiv.org/abs/q-alg/9610024 |
Abstract
We study the algebra of difference operators that commute with the two-body Ruijsenaars operator, a $q$-deformation of the Lam\'e 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.
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"abstract": "We study the algebra of difference operators that commute with the two-body\nRuijsenaars operator, a $q$-deformation of the Lam\\\u0027e differential operator,\nfor generic values of the deformation parameter. The algebra is commutative. It\nis the algebra of polynomial functions on an affine hyperelliptic curve\n$Y^2=P(X^2)$. We also compute the difference Galois group of the eigenvalue\nproblem.",
"arxiv_id": "q-alg/9610024",
"authors": [
"Giovanni Felder",
"Alexander Varchenko"
],
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"q-alg",
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"title": "Algebraic integrability of the two-body Ruijsenaars operator",
"url": "https://arxiv.org/abs/q-alg/9610024"
},
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