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arxiv: math/0403222 · v2 · submitted 2004-03-13 · 🧮 math.RT · math.AG

Quiver varieties and Lusztig's algebra

classification 🧮 math.RT math.AG
keywords algebralusztigquiverrepresentationsvarietiesalgebrasapplicationassociative
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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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