Some monodromy representations of generalized braid groups
type: Item
instance of: scholarly article
title: Some monodromy representations of generalized braid groups
zbMATH Open document ID: 0829.20055
DOI: 10.1007/BF02101704
published in: Communications in Mathematical Physics
publication date: 1994-09-27T00:00:00Z
review text: A flat connection on the trivial bundle over the complement in \(C^n\) of the complexification of the system of reflecting hyperplanes of the \(B_n\), \(D_n\) Coxeter groups is built from a simple Lie algebra and its representation. The corresponding monodromy representations of the generalized braid groups \(XB_n\), \(XD_n\) are computed in the simplest case. The author mentions that analogous problems were solved in significantly more abstract form in the following papers of \textit{I. V. Cherednik} [Funkts. Anal. Prilozh. 24, No. 1, 88-89 (1990; Zbl 0717.20005) and Dokl. Akad. Nauk SSSR 307, No. 1, 49-53 (1989; Zbl 0747.17017)].
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 645284
zbMATH Keywords: Coxeter groups
zbMATH Keywords: simple Lie algebras
zbMATH Keywords: monodromy representations
zbMATH Keywords: generalized braid groups
author: A. Leibman
reviewed by: Andrei M. Akimenkov
MaRDI profile type: Publication
cites work: The complex exponent of a singularity does not change along strata mu=const
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description: scientific article; zbMATH DE number 645284