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Article Dans Une Revue Annales de l'Institut Fourier Année : 2008

Partial flag varieties and preprojective algebras

Résumé

Let L be a preprojective algebra of Dynkin type, and let G be the corresponding complex semisimple simply connected algebraic group. We study rigid modules in subcategories sub(Q) for Q an injective L-module, and we introduce a mutation operation between complete rigid modules in sub(Q). This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to G.

Dates et versions

hal-00093506 , version 1 (13-09-2006)

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Christof Geiss, Bernard Leclerc, Jan Schröer. Partial flag varieties and preprojective algebras. Annales de l'Institut Fourier, 2008, 58 (3), pp.825-876. ⟨hal-00093506⟩
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