Quiver varieties and Lusztig's algebra
Representation Theory
2007-05-23 v2 Algebraic Geometry
Abstract
We study preprojective algebras of graphs and their relationship to module categories over representations of quantum SL(2). As an application, ADE quiver varieties of Nakajima are shown to be subvarieties of the variety of representations of a certain associative algebra introduced by Lusztig.
Cite
@article{arxiv.math/0403222,
title = {Quiver varieties and Lusztig's algebra},
author = {Anton Malkin and Victor Ostrik and Maxim Vybornov},
journal= {arXiv preprint arXiv:math/0403222},
year = {2007}
}
Comments
23 pages, exposition improved