On interpretations and constructions of classical dynamical r-matrices
نویسنده
چکیده
In this note we complement recent results on the exchange r-matrices appearing in the chiral WZNW model by providing a direct, purely finite-dimensional description of the relationship between the monodromy dependent 2-form that enters the chiral WZNW symplectic form and the exchange r-matrix that governs the corresponding Poisson brackets. We also develop the special case in which the exchange r-matrix becomes the ‘canonical’ solution of the classical dynamical Yang-Baxter equation on an arbitrary self-dual Lie algebra. Based on a talk given by L.F. at the QTS2 symposium, 18-21 July 2001, Kraków, Poland.
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تاریخ انتشار 2001