27 citations · 35 across the 14 of their papers we have counts for
16 papers
A Proof of the Second brick-Brauer-Thrall Conjecture for -infinite algebras
Kaveh Mousavand, Charles Paquette
For any finite-dimensional algebra over an algebraically closed field, we prove that if is -infinite, then the Second brick-Brauer-Thrall Conjecture holds for . In fa…
Brick infinite algebras admit infinitely many non--rigid bricks
Kaveh Mousavand, Charles Paquette
For finite dimensional algebras over algebraically closed fields, we settle a question previously known only for certain families of algebras. More specifically, motivated by some…
Left modularity and extremality for (some) infinite lattices
Sota Asai, Osamu Iyama, Kaveh Mousavand +1
For some important families of complete infinite lattices, we study some generalizations of two fundamental notions which are mostly treated for finite lattices. Specifically, for…
Infinite string bricks and Sturmian words over some gentle algebras
Mark Deaconu, Kaveh Mousavand, Charles Paquette
We study infinite string modules that are bricks over some gentle algebras. In particular, we first give a complete classification of these modules over the double-Kronecker gentle…
On the bricks (Schur representations) of finite dimensional algebras
Kaveh Mousavand, Charles Paquette
This manuscript treats the diverse applications of bricks within modern representation theory and several related domains, and reviews the recent developments and new results on br…
Brick-splitting Torsion Pairs and Left Modularity
Sota Asai, Osamu Iyama, Kaveh Mousavand +1
We introduce the notion of brick-splitting torsion pairs as a modern analogue and generalization of the classical notion of splitting torsion pairs. A torsion pair is called brick-…
Hom-orthogonal modules and brick-Brauer-Thrall conjectures
Kaveh Mousavand, Charles Paquette
For finite dimensional algebras over algebraically closed fields, we study the sets of pairwise Hom-orthogonal modules and obtain new results on some open conjectures on the behavi…
Geometric interactions between bricks and -rigidity
Kaveh Mousavand, Charles Paquette
For finite-dimensional algebras over algebraically closed fields, we consider two fundamental classes of modules and their geometric counterparts: bricks and -rigid modules, as…
Biserial algebras and generic bricks
Kaveh Mousavand, Charles Paquette
We consider generic bricks and use them in the study of arbitrary biserial algebras over algebraically closed fields. For a biserial algebra , we show that is brick-infinite…
A continuous associahedron of type A
Maitreyee C. Kulkarni, Jacob P. Matherne, Kaveh Mousavand +1
Taking a representation-theoretic viewpoint, we construct a continuous associahedron motivated by the realization of the generalized associahedron in the physical setting. We show…
Minimal (-)tilting infinite algebras
Kaveh Mousavand, Charles Paquette
Motivated by a new conjecture on the behavior of bricks, we start a systematic study of minimal -tilting infinite algebras. In particular, we treat minimal -tilting infinite…
-Tilting Finiteness of Non-distributive Algebras and their Module Varieties
Kaveh Mousavand
We treat the -tilting finiteness of those minimal representation-infinite (min-rep-infinite) algebras which are non-distributive. Building upon the new results of Bongartz, we f…
-tilting finiteness of biserial algebras
Kaveh Mousavand
In this paper we treat the -tilting finiteness of biserial (respectively special biserial) algebras over algebraically closed (respectively arbitrary) fields. Inside these famil…
A categorification of biclosed sets of strings
Alexander Garver, Thomas McConville, Kaveh Mousavand
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets o…
ABHY Associahedra and Newton polytopes of -polynomials for finite type cluster algebras
Véronique Bazier-Matte, Nathan Chapelier-Laget, Guillaume Douville +3
A new construction of the associahedron was recently given by Arkani-Hamed, Bai, He, and Yan in connection with the physics of scattering amplitudes. We show that their constructio…
On the combinatorics of gentle algebras
Thomas Brüstle, Guillaume Douville, Kaveh Mousavand +2
For a gentle algebra, and and string modules, we construct a combinatorial basis for Hom(). We use this to describe support -tilting modules for . We give a…