11 papers
Resolving subcategories for gentle algebras III: Tilting modules for gentle tree algebras
Benjamin Dequêne, Michaël Schoonheere
This paper is the third part of a series that intends to study the resolving subcategories for gentle algebras over an algebraically closed field . As in the previous t…
Flows on graphs with cycles, locally gentle algebras, and the Mutoperhedron
Antoine Abram, Jose Bastidas, Benjamin Dequêne +3
Flow cones of a directed acyclic graph admit a family of unimodular triangulations given by Danilov, Karzanov, and Koshevoy (DKK) whose normal fans are related to (generalizations)…
Resolving subcategories for gentle algebras II: Resolving subcategories for gentle trees
Benjamin Dequêne, Michaël Schoonheere
This paper is the second part of a series that intends to study the resolving subcategories for gentle algebras over an algebraically closed field . As in the first par…
Exact structures and maximal canonically Jordan recoverable subcategories for modules over type algebras
Benjamin Dequêne, Sunny Roy
On one hand, exact structures were introduced by D. Quillen in the '70s. They can be defined as collections of short exact sequences in a fixed abelian category satisfying addition…
Resolving subcategories for gentle algebras I: Monogeneous resolving subcategories for gentle trees
Benjamin Dequêne, Michaël Schoonheere
This paper is the first part of a series that intends to study resolving subcategories for gentle algebras over an algebraically closed field . In a general setting, we…
An extended generalization of RSK correspondence via type quiver representations
Benjamin Dequêne
Let . For any Coxeter element of , we construct a bijection from fillings of to reverse plane partitions…
An extended generalization of RSK via the combinatorics of type quiver representations
Benjamin Dequêne
The classical Robinson--Schensted--Knuth correspondence is a bijection from nonnegative integer matrices to pairs of semi-standard Young tableaux. Based on the work of, among other…
Canonically Jordan recoverable categories for modules over the path algebra of type quivers
Benjamin Dequêne
Let be a quiver of type and be an algebraically closed field. A nilpotent endomorphism of a quiver representation induces a linear transformation of the vect…
A generalization of perfectly clustering words and band bricks for certain gentle algebras
Benjamin Dequêne, Mélodie Lapointe, Yann Palu +3
We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conje…
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…
Jordan recoverability of some subcategories of modules over gentle algebras
Benjamin Dequêne
Gentle algebras form a class of finite-dimensional algebras introduced by I. Assem and A. Skowroński in the 1980s. Modules over such an algebra can be described by string and band…