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arXiv · 1402.4435

Cluster structures on strata of flag varieties

Bernard Leclerc
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Abstract

We introduce some new Frobenius subcategories of the module category of a preprojective algebra of Dynkin type, and we show that they have a cluster structure in the sense of Buan-Iyama-Reiten-Scott. These categorical cluster structures yield cluster algebra structures in the coordinate rings of intersections of opposed Schubert cells.

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Bernard Leclerc. 2014-02-18. Cluster structures on strata of flag varieties. https://arxiv.org/abs/1402.4435

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