From Dynamical to Numerical R-Matrices: A Case Study for the Calogero Models

Abstract

Within the class of integrable Calogero models associated with (semi-)simple Lie algebras and with symmetric pairs of Lie algebras identified in a previous paper, we analyze whether and to what extent it is possible to find a gauge transformation that takes the traditional Lax pair with its dynamical R-matrix to a new Lax pair with a numerical R-matrix.

52 pages, Latex

References in corpus (2)

• Integrable spin Calogero-Moser systems
• Spin Calogero-Moser systems associated with simple Lie algebras

Cited by in corpus (3)

• Rational Top and its Classical R-matrix
• On factorized Lax pairs for classical many-body integrable systems
• On the r-matrix structure of the hyperbolic BC(n) Sutherland model