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Some monodromy representations of generalized braid groups

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Abstract

A flat connection on the trivial bundle over the complement inC n of the complexification of the system of the reflecting hyperplanes of theB n,D n Coxeter groups is built from a simple Lie algebra and its representation. The corresponding monodromy representations of the generalized braid groupsXB n,XD n are computed in the simplest case.

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Communicated by Ya. G. Sinai

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Leibman, A. Some monodromy representations of generalized braid groups. Commun.Math. Phys. 164, 293–304 (1994). https://doi.org/10.1007/BF02101704

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