587 citations · 7.1k across the 87 of their papers we have counts for
Showing 1996Show all
3 papers · 1 filter
q-alg1996★ 1 cited
Quantum Dynamical R-matrices and Quantum Frobenius Group
G. E. Arutyunov, S. A. Frolov
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 ov…
hep-th1996★ 25 cited
Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group
G. E. Arutyunov, S. A. Frolov, P. B. Medvedev
It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the cotangent bundle over the two-dimensional current group by means of the Hamiltonian reduction pro…
hep-th1996★ 16 cited
Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
G. E. Arutyunov, S. A. Frolov, P. B. Medvedev
It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical -matrix na…