Subregular representations of $\sl_n$ and simple singularities of type $A_{n-1}$

Iain Gordon; Dmitriy Rumynin

Subregular representations of $\sl_n$ and simple singularities of type $A_{n-1}$

Representation Theory 2007-05-23 v1 Algebraic Geometry Quantum Algebra Rings and Algebras

Authors: Iain Gordon , Dmitriy Rumynin

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 $A$ . Using the McKay correspondence, we relate the solution to bases in equivariant $K$ -theory introduced by Lusztig.

Keywords

subregular representations simple singularities restricted lie algebra mckay correspondence equivariant k-theory nilpotent representations

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@article{arxiv.math/0101123,
  title  = {Subregular representations of $\sl_n$ and simple singularities of type $A_{n-1}$},
  author = {Iain Gordon and Dmitriy Rumynin},
  journal= {arXiv preprint arXiv:math/0101123},
  year   = {2007}
}

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34 pages

Subregular representations of $\sl_n$ and simple singularities of type $A_{n-1}$

Abstract

Keywords

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