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

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

2001-01-15

arxiv.org/abs/math/0101123v1

Mathematics

Representation Theory

34 pages

Scientific paper

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.

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