Monodromy mapping and classical $r$-matrices
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 156-166
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A regularization of the Poisson brackets of the monodromy matrices based on the method of zero range potentials is proposed. Classification of the regularized brackets is reduced to the Classical Yang–Baxter identity for the square of the initial Lie algebra.
@article{ZNSL_1992_200_a15,
author = {M. A. Semenov-Tian-Shansky},
title = {Monodromy mapping and classical $r$-matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--166},
publisher = {mathdoc},
volume = {200},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a15/}
}
M. A. Semenov-Tian-Shansky. Monodromy mapping and classical $r$-matrices. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 156-166. http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a15/