6 citations · 11 across the 12 of their papers we have counts for
16 papers
The extra slow Tamari lattice
Sylvie Corteel, Jihyeug Jang, Baptiste Rognerud
We introduce the extra slow Tamari lattices, a new family of lattices defined on faithfully balanced tableaux. These tableaux arise naturally from the representation theory of type…
A remark on s-torsion pairs and on the lattice of Dyck paths
Baptiste Rognerud
There are three classical lattices on the Catalan numbers: the Tamari lattice, the lattice of noncrossing partitions and the lattice of Dyck paths. The first is known to be isomorp…
On the lattice of the weak factorization systems on a finite lattice
Yongle Luo, Baptiste Rognerud
We consider the lattice of all the weak factorization systems on a given finite lattice. We prove that it is semidistributive, trim and congruence uniform. We deduce a graph theore…
Odd and even Fibonacci lattices arising from a Garside monoid
Thomas Gobet, Baptiste Rognerud
We study two families of lattices whose number of elements are given by the numbers in even (respectively odd) positions in the Fibonacci sequence. The even Fibonacci lattice arise…
Combinatorics of quasi-hereditary structures
Manuel Flores, Yuta Kimura, Baptiste Rognerud
A quasi-hereditary algebra is an Artin algebra together with a partial order on its set of isomorphism classes of simple modules which satisfies certain conditions. In this article…
Combinatorics of faithfully balanced modules
William Crawley-Boevey, Biao Ma, Baptiste Rognerud +1
We study and classify faithfully balanced modules for the algebra of lower triangular by matrices. The theory extends known results about tilting modules, which are classif…