Monodromy representations of braid groups and Yang-Baxter equations
Annales de l'Institut Fourier, Volume 37 (1987) no. 4, p. 139-160

Motivated by the two dimensional conformal field theory with gauge symmetry, we shall study the monodromy of the integrable connections associated with the simple Lie algebras. This gives a series of linear representations of the braid group whose explicit form is described by solutions of the quantum Yang-Baxter equation.

Motivé par la théorie des champs conforme en dimension deux avec la symétrie de jauge, nous allons étudier la monodromie des connexions intégrables associées aux algébres de Lie simples. Ceci donne une série de représentations linéaires du groupe de tresses dont la forme explicite est exprimée par solutions de l’équation de Yang-Baxter quantique.

@article{AIF_1987__37_4_139_0,
     author = {Kohno, Toshitake},
     title = {Monodromy representations of braid groups and Yang-Baxter equations},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {37},
     number = {4},
     year = {1987},
     pages = {139-160},
     doi = {10.5802/aif.1114},
     zbl = {0634.58040},
     mrnumber = {89h:17030},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1987__37_4_139_0}
}
Kohno, Toshitake. Monodromy representations of braid groups and Yang-Baxter equations. Annales de l'Institut Fourier, Volume 37 (1987) no. 4, pp. 139-160. doi : 10.5802/aif.1114. http://www.numdam.org/item/AIF_1987__37_4_139_0/

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