Generalized McKay quivers of rank three
type: Item
instance of: scholarly article
title: Generalized McKay quivers of rank three
zbMATH Open document ID: 1300.14017
author: Xiao Li Hu
author: Naihuan Jing
author: Wuxing Cai
publication date: 2013-07-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/1207.2823
review text: The McKay correspondence describes connections among finite subgroups \(G\) of \(\mathrm{SL}_2(\mathbb{C})\), classical Lie groups of simply-laced type, and resolutions of singularities of \(\mathbb{C}^2/G\). There have been several attempts to generalize this correspondence to \(\mathrm{SL}_n(\mathbb{C})\). In the paper under review, the notions of the generalized McKay quiver and the generalized Cartan matrix are considered. Some properties of the generalized Cartan matrices are studied. The complete list of generalized McKay quivers for \(\mathrm{SL}_3(\mathbb{C})\) is given.
Mathematics Subject Classification ID: 14E16
Mathematics Subject Classification ID: 20H99
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 6188468
zbMATH Keywords: McKay correspondence
zbMATH Keywords: McKay quivers
zbMATH Keywords: generalized Dynkin diagrams
reviewed by: Artem Lopatin
Wikidata QID: Q57426524
MaRDI profile type: Publication
OpenAlex ID: W3121882319
arXiv ID: 1207.2823
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DOI: 10.1007/S10114-013-1005-Y
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6188468