Coherent categorification of quantum loop algebras: The SL(2) case
Coherent categorification of quantum loop algebras: The SL(2) case
Abstract We construct an equivalence of graded Abelian categories from a category of representations of the quiver-Hecke algebra of type <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msubsup><m:mi>A</m:mi><m:mn>1</m:mn><m:mrow><m:mo stretchy="false">(</m:mo><m:mn>1</m:mn><m:mo stretchy="false">)</m:mo></m:mrow></m:msubsup></m:math> {A_{1}^{(1)}} to the category of equivariant perverse coherent sheaves on the nilpotent cone of type A . We prove that this equivalence is weakly monoidal. This …