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Subregular Representations of ${\frak s} {\frak l}_{n}$ and Simple Singularities of Type An−1

Published online by Cambridge University Press:  04 December 2007

Iain Gordon
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, U.K. e-mail: ig@maths.gla.ac.uk
Dmitriy Rumynin
Affiliation:
Mathematics Department, University of Warwick, Coventry, CV4 7AL, U.K. e-mail: rumynin@maths.warwick.ac.uk
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Abstract

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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.

Type
Research Article
Copyright
© 2003 Kluwer Academic Publishers