Vector version of Matsuo-Cherednik equation for the root system \(G_ 2\)
type: Item
instance of: scholarly article
title: Vector version of Matsuo-Cherednik equation for the root system \(G_ 2\)
zbMATH Open document ID: 0873.17024
DOI: 10.1007/BF02304779
author: Yanyan Li
published in: Mathematical Notes
publication date: 1997-10-30T00:00:00Z
review text: In the paper [Invent. Math. 110, 95-121 (1992; Zbl 0801.35131)] \textit{A. Matsuo} introduced a system of differential equations associated with an arbitrary root system and showed that this is integrable and Weyl group invariant. He also gave a vector version of the equations for the root system of type \(A\). The vector versions for the root systems \(B\), \(C\) and \(D\) are given by \textit{V. A. Golubeva} and \textit{V. P. Leksin} [Short Communications of ICM, Zürich (1994)]. In the present note the authors give the vector version of the equations for the root system \(G_2\).
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 35Q58
zbMATH DE Number: 898949
zbMATH Keywords: KZ equation
zbMATH Keywords: root system
zbMATH Keywords: Weyl group
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02304779
OpenAlex ID: W2092958689
description: scientific article; zbMATH DE number 898949