A remark on Leclerc's Frobenius categories

Martin Kalck

A remark on Leclerc's Frobenius categories

Martin Kalck

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract / Description of output

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.

Original language	English
Title of host publication	Homological bonds between Commutative Algebra and Representation Theory
Publisher	Research Perspectives CRM Barcelona
Publication status	Published - 27 Jan 2017

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LeclercFrobeniusAccepted author manuscript, 164 KB

Homological interactions between singularity theory, representation theory and algebraic geometry
Kalck, M.
EPSRC
1/04/14 → 31/08/17
Project: Research

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title = "A remark on Leclerc's Frobenius categories",

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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AB - 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.

M3 - Conference contribution

BT - Homological bonds between Commutative Algebra and Representation Theory

PB - Research Perspectives CRM Barcelona

ER -

A remark on Leclerc's Frobenius categories

Abstract / Description of output

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Homological interactions between singularity theory, representation theory and algebraic geometry

Cite this