Quantum Dynamical R-matrices and Quantum Frobenius Group
Citation:
G. E. Arutyunov and S. A. Frolov, Quantum Dynamical R-matrices and Quantum Frobenius Group, Communications in Mathematical Physics, 191, 1, 1998, 15-29Download Item:
Abstract:
We propose an algebraic scheme for quantizing the rational Ruijsenaars-Schneider
model in the R-matrix formalism. We introduce a special parameterization of the
cotangent bundle over GL(N,C). In new variables the standard symplectic structure
is described by a classical (Frobenius) r-matrix and by a new dynamical ?r-matrix.
Quantizing both of them we find the quantum L-operator algebra and construct its
particular representation corresponding to the rational Ruijsenaars-Schneider system.
Using the dual parameterization of the cotangent bundle we also derive the algebra for
the L-operator of the trigonometric Calogero-Moser system.
Author's Homepage:
http://people.tcd.ie/frolovsDescription:
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Author: FROLOV, SERGEY
Publisher:
Springer VerlagType of material:
Journal ArticleSeries/Report no:
Communications in Mathematical Physics;191;
1;
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Full text availableKeywords:
Mathematics, Ruijsenaars-SchneiderMetadata
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