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arXiv · 1709.04785

A remark on Leclerc's Frobenius categories

Martin Kalck
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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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Martin Kalck. 2017-09-14. A remark on Leclerc's Frobenius categories. https://doi.org/10.1007/978-3-319-45441-2

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