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Subregular representations of Sln and simple singularities of type An−1

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Gordon, I. (Iain) and Rumynin, Dmitriy. (2003) Subregular representations of Sln and simple singularities of type An−1. Compositio Mathematica, Vol.13 (No.3). pp. 337-360. ISSN 0010-437X

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Abstract

Alexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutative deformations of the corresponding singularities? We solve this problem for type A.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Lie algebras, Noncommutative algebras, Singularities (Mathematics), Artin rings, Deformations of singularities
Journal or Publication Title: Compositio Mathematica
Publisher: Cambridge University Press
ISSN: 0010-437X
Official Date: September 2003
Volume: Vol.13
Number: No.3
Page Range: pp. 337-360
Identification Number: 10.1023/A:1027381710548
Status: Peer Reviewed
Access rights to Published version: Open Access
Funder: Fifth Framework Programme (European Commission) (FP5), Mathematical Sciences Research Institute (Berkeley, Calif.) (MSRI), Engineering and Physical Sciences Research Council (EPSRC)
Grant number: GR/M68886 (EPSRC), GR/M75037 (EPSRC), ERB FMRXCT97- 0100 (FFP)
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URI: http://wrap.warwick.ac.uk/id/eprint/772

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