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Quiver varieties and Lusztig's algebra

Anton Malkin·Victor Ostrik·Maxim Vybornov
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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.

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Anton Malkin, Victor Ostrik, Maxim Vybornov. 2005-04-17. Quiver varieties and Lusztig's algebra. https://arxiv.org/abs/math/0403222

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