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arxiv: 1208.5749 · v1 · pith:R6UMVWOJnew · submitted 2012-08-28 · 🧮 math.RT · math.QA· math.RA

Cluster algebras in algebraic Lie theory

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keywords clusterunipotentalgebraalgebraicalgebrascellsconstructionscoordinate
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We survey some recent constructions of cluster algebra structures on coordinate rings of unipotent subgroups and unipotent cells of Kac-Moody groups. We also review a quantized version of these results.

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