A remark on Leclerc's Frobenius categories
Representation Theory
2017-09-15 v1 Category Theory
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.
Cite
@article{arxiv.1709.04785,
title = {A remark on Leclerc's Frobenius categories},
author = {Martin Kalck},
journal= {arXiv preprint arXiv:1709.04785},
year = {2017}
}
Comments
5 pages, extended abstract for a talk at the Workshop Homological Bonds between Commutative Algebra and Representation Theory at CRM Barcelona, February 2015, comments welcome