4 papers · 1 filter
Brick-finite skew-gentle algebras are representation-finite
Monica Garcia, Léa Lavoué
We show that a skew-gentle algebra is brick-finite if and only if it is representation-finite, generalizing Plamondon's original result for gentle algebras.
On -finiteness in the category of projective presentations
Monica Garcia
We provide new equivalent conditions for an algebra to be -finite, analogous to those established by L. Demonet, O. Iyama, and G. Jasso, but within the category of projectiv…
On thick subcategories of the category of projective presentations
Monica Garcia
We study thick subcategories of the category of 2-term complexes of projective modules over an associative algebra. We show that those thick subcategories that have enough injectiv…
Semistable subcategories for tiling algebras
Monica Garcia, Alexander Garver
Semistable subcategories were introduced in the context of Mumford's GIT and interpreted by King in terms of representation theory of finite dimensional algebras. Ingalls and Thoma…