Compositio Mathematica

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

Iain Gordon a1 and Dmitriy Rumynin a2
a1 Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, U.K. e-mail:
a2 Mathematics Department, University of Warwick, Coventry, CV4 7AL, U.K. e-mail:

Article author query
gordon i   [Google Scholar] 
rumynin d   [Google Scholar] 


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.