3 papers
math.CO2025
-Tamari lattices
Adrien Segovia
Given any poset and chain in , we define the -Tamari lattice. We study in depth these lattices and prove in particular that they are join-semidistributive, join-c…
math.CO2025
Rowmotion and Echelonmotion
Colin Defant, Yuhan Jiang, Rene Marczinzik +4
Given a linear extension of a finite poset , we consider the permutation matrix indexing the Schubert cell containing the Cartan matrix of with respect to . This yiel…
math.CO2025
The free and parking quasi-symmetrizing actions
Adrien Segovia
We define two actions of the infinite symmetric group on the set of words on positive integers, called the free and parking quasi-symmetrizing actions, whose invariants are respect…