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A remark on Leclerc's Frobenius categories

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Original languageEnglish
Title of host publicationHomological bonds between Commutative Algebra and Representation Theory
PublisherResearch Perspectives CRM Barcelona
Publication statusPublished - 27 Jan 2017

Abstract

Leclerc recently studied certain Frobenius categories in connection with cluster algebra structures on coordinate rings of intersections of opposite Schubert cells. We show that these categories admit a description as Gorenstein projective modules over an Iwanaga-Gorenstein ring of virtual dimension at most two. This is based on a Morita type result for Frobenius categories.

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