Computation of monodromy of certain W-invariant local systems of types B, C, D
type: Item
instance of: scholarly article
title: Computation of monodromy of certain W-invariant local systems of types B, C, D
zbMATH Open document ID: 0717.20005
DOI: 10.1007/BF01077930
publication date: 1990-01-01T00:00:00Z
review text: \textit{V. G. Knizhnik} and \textit{A. B. Zamolodchikov} [Nucl. Phys. B 247, 83-103 (1984; Zbl 0661.17020)] constructed a differential equation important in 2-dimensional models of statistical physics. It is related with braid groups and monodromy representations for them are constructed by \textit{A. Tsuchiya} and \textit{Y. Kanie} [Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 297-372 (1988; Zbl 0661.17021)]. The author showed that the above n-point Knizhnik-Zamolodchikov equation corresponds to root patterns of type A and constructed similar equations for any root system [Dokl. Akad. Nauk SSSR 307, No.1, 49-53 (1989)]. In the paper under review he generalizes the results of Tsuchiya and Kanie to the series B, C, D. In these cases the role of the Hecke algebra is played by the affine Hecke algebra.
reviewed by: Dimitry Leites
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 20C35
zbMATH DE Number: 4181614
zbMATH Keywords: braid groups
zbMATH Keywords: monodromy representations
zbMATH Keywords: n-point Knizhnik-Zamolodchikov equation
zbMATH Keywords: root patterns
zbMATH Keywords: root system
zbMATH Keywords: affine Hecke algebra
author: Ivan Cherednik
MaRDI profile type: Publication
cites work: A new interpretation of Gelfand-Tsetlin bases
full work available at URL: https://doi.org/10.1007/bf01077930
OpenAlex ID: W2067349470
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4181614