224 citations · 2.5k across the 74 of their papers we have counts for
4 papers · 2 filters
The Conformal Group SU(2,2) and Integrable Systems on a Lorentzian Hyperboloid
M. A. del Olmo, M. A. Rodriguez, P. Winternitz
Eleven different types of "maximally superintegrable" Hamiltonian systems on the real hyperboloid are obtained. All of them correspond to a free…
Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz
J. Harnad, P. Winternitz
The relation between solutions to Helmholtz's equation on the sphere and the $[{\gr sl}(2)]^n$ Gaudin spin chain is clarified. The joint eigenfuctions of the Laplacian an…
Symmetries of the Kadomstev-Petviashvili Hierarchy
A. Yu. Orlov, P. Winternitz
The relation between the $\widehat{\Sl}(\infty)$ algebra of flows commuting with the KP hierarchy and the Kac-Moody-Virasoro Lie point symmetries of individual equations is establi…
Spherical Functions for the Quantum Group su_q(2)
P. Winternitz, G. Rideau
The representation theory of the quantum group su is used to introduce -analogues of the Wigner rotation matrices, spherical functions, and Legendre polynomials. The meth…