124 citations · 379 across the 16 of their papers we have counts for
16 papers
Classifying torsion classes of gentle algebras
Aaron Chan, Laurent Demonet
For a finite-dimensional gentle algebra, it is already known that the functorially finite torsion classes of its category of finite-dimensional modules can be classified using a co…
A survey on maximal green sequences
Laurent Demonet, Bernhard Keller
Maximal green sequences appear in the study of Fomin-Zelevinsky's cluster algebras. They are useful for computing refined Donaldson-Thomas invariants, constructing twist automorphi…
Lattice theory of torsion classes: Beyond -tilting theory
Laurent Demonet, Osamu Iyama, Nathan Reading +2
The aim of this paper is to establish a lattice theoretical framework to study the partially ordered set of torsion classes over a finite-dimension…
Introduction to algebras of partial triangulations
Laurent Demonet
The aim of this note is to give a gentle introduction to algebras of partial triangulations of marked surfaces, following the structure of a talk given during the 49th symposium on…
Example of categorification of a cluster algebra
Laurent Demonet
We present here two detailed examples of additive categorifications of the cluster algebra structure of a coordinate ring of a maximal unipotent subgroup of a simple Lie group. The…
SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)
Laurent Demonet, Pierre-Guy Plamondon, Dylan Rupel +2
We define a family of generalizations of -tilings to higher dimensions called --tilings. We show that, in each dimension 3 o…
Algebras of partial triangulations
Laurent Demonet
We introduce two classes of algebras coming from partial triangulations of marked surfaces. The first one, called frozen algebra of a partial triangulation, is generally of infinit…
Lifting preprojective algebras to orders and categorifying partial flag varieties
Laurent Demonet, Osamu Iyama
We describe a categorification of the cluster algebra structure of multi-homogeneous coordinate rings of partial flag varieties of arbitrary Dynkin type using Cohen-Macaulay module…
-tilting finite algebras, bricks and -vectors
Laurent Demonet, Osamu Iyama, Gustavo Jasso
The class of support -tilting modules was introduced to provide a completion of the class of tilting modules from the point of view of mutations. In this article we study -ti…
Ice quivers with potential arising from once-punctured polygons and Cohen-Macaulay modules
Laurent Demonet, Xueyu Luo
Given a tagged triangulation of a once-punctured polygon with vertices, we associate an ice quiver with potential such that the frozen part of the associated frozen Jacob…
Ice quivers with potentials associated with triangulations and Cohen-Macaulay modules over orders
Laurent Demonet, Xueyu Luo
Given a triangulation of a polygon P with n vertices, we associate an ice quiver with potential such that the associated Jacobian algebra has the structure of a Gorenstein tiled K[…
Quotients of exact categories by cluster tilting subcategories as module categories
Laurent Demonet, Yu Liu
We prove that some subquotient categories of exact categories are abelian. This generalizes a result by Koenig-Zhu in the case of (algebraic) triangulated categories. As a particul…
Mutations of group species with potentials and their representations. Applications to cluster algebras
Laurent Demonet
This article tries to generalize former works of Derksen, Weyman and Zelevinsky about skew-symmetric cluster algebras to the skew-symmetrizable case. We introduce the notion of gro…
Categorification of skew-symmetrizable cluster algebras
Laurent Demonet
We propose a new framework for categorifying skew-symmetrizable cluster algebras. Starting from an exact stably 2-Calabi-Yau category C endowed with the action of a finite group G,…
Skew group algebras of path algebras and preprojective algebras
Laurent Demonet
We compute explicitly up to Morita-equivalence the skew group algebra of a finite group acting on the path algebra of a quiver and the skew group algebra of a finite group acting o…
Cluster algebras and preprojective algebras : the non simply-laced case
Laurent Demonet
We generalize to the non simply-laced case results of Geiß, Leclerc and Schröer about the cluster structure of the coordinate ring of the maximal unipotent subgroups of simple Lie…