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On interpretations and constructions of classical dynamical r-matrices

L. Feher·A. Gabor
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Abstract

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.

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L. Feher, A. Gabor. 2002-12-01. On interpretations and constructions of classical dynamical r-matrices. https://doi.org/10.1142/9789812777850_0037

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