On unstable principal bundles over elliptic curves
type: Item
instance of: scholarly article
title: On unstable principal bundles over elliptic curves
zbMATH Open document ID: 1030.22006
author: Stefan Helmke
author: Peter Slodowy
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2004-02-12T00:00:00Z
review text: The main result of this paper is on a relationship between simple elliptic singularities and certain holomorphic Kac-Moody loop groups. The main result is proved by studying the orbital geometry through unstable principal bundles over elliptic curves.
Mathematics Subject Classification ID: 22E67
Mathematics Subject Classification ID: 14H60
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 1744041
zbMATH Keywords: principal bundles
zbMATH Keywords: elliptic curves
zbMATH Keywords: Kac-Moody loop groups
reviewed by: V. Lakshmibai
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145477228
OpenAlex ID: W2060342670
cites work: Vector Bundles Over an Elliptic Curve
cites work: The Yang-Mills equations over Riemann surfaces
cites work: Almost commuting elements in compact Lie groups
cites work: Q5580319
cites work: Q5628386
cites work: Central extensions of current groups in two dimensions
cites work: Affine Gelfand-Dickey brackets and holomorphic vector bundles
cites work: Vector bundles and \(F\) theory
cites work: On the cohomology groups of moduli spaces of vector bundles on curves
cites work: Q4040877
cites work: Q3995501
cites work: Root systems and elliptic curves
cites work: Geometric Invariant Theory
cites work: Stable principal bundles on a compact Riemann surface
cites work: Some remarks on the instability flag
cites work: Einfach-elliptische Singularitäten
cites work: Extended affine root system. IV: Simply-laced elliptic Lie algebras
cites work: On moduli spaces of flat connections with non-simply connected structure group
cites work: Q4146840
cites work: Simple singularities and simple algebraic groups
cites work: Linear algebraic groups.
cites work: Q3919964
DOI: 10.2977/PRIMS/1145477228
description: scientific article; zbMATH DE number 1744041