GEOMETRIC METHODS IN PHYSICS dynamical systems

R-MATRIX

------------ 1998 -------------------

Zhou, Ruguang
Lax representation, r-matrix method, and separation of 
              variables for the Neumann-type restricted flow
Journal of mathematical physics.
Volume 39, Number 5, pp. 2848, 1998

Marshall, I D
The Kowalevski Top: its r-Matrix Interpretation and 
              Bihamiltonian Formulation
Communications in mathematical physics.
Volume 191, Number 3, pp. 723, 1998


------------ 1997 -------------------

Antonov, A; Hasegawa, K; Zabrodin, A
On trigonometric intertwinning vectors and non-dynamical R-
              matrix for the Ruijsenaars model
Nuclear physics. B.
Volume 503, Number 3, pp. 747 1997


Tsyganov, A V
The classical r-matrix method and superintegrable systems
Theoretical and mathematical physics. 
Volume 112, Number 3, pp. 1140, 1997


------------ 1996 and before -------------------

Baez, John C.
R-Commutative Geometry and Quantization of Poisson Algebras.
Advances in mathematics.
Volume 95, Number 1, 61, 1992

Bordemann, Martin
Generalized Lax Pairs, the modified classical YB eqn, and affine geo of Lie groups.
Commun. Math. Phys.
135, 201-216, 1990

Babelon O., Viallet, C.-M.
Hamiltonian structures and Lax equations
Phys Lett B 237, 411-416 1990  (march)

Semenov-Tyan-Shanskii, M.A.
What is a classical r-matrix?
Funct. Annal. Appl., 17, 259-272, 1983

Drinfeld V.G.
Hamiltonian structures on Lie groups, Lie bialgebras, and the
  geometrical meaning of the Yang-Baxter equations
Soviet Math. Dokl. 27, 68-71, 1983

Belavin, A.A. and Drinfeld, V.G.
Solutions of the classical Yang-Baxter equation for simple Lie algebras
Funct. Annal. Appl., 16, 159-180, 1983


Sklyanin, E.K.
On complete integrability of the Landau-Lifshitz equation
Prep LOMI, E-3-79, Leningrad 1980
(r-matrix defined)

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