1 citations · 1 across the 3 of their papers we have counts for
4 papers
Invariance of rowmotion for variants of the Tamari lattice
Ben Adenbaum, Emily Barnard, Cesar Ceballos +6
We show that the rowmotion operator from dynamical algebraic combinatorics behaves the same on all alt -Tamari lattices for a fixed lattice path . We use this invariance of r…
A new definition for m-Cambrian lattices
Clément Chenevière, Wenjie Fang, Corentin Henriet
The Cambrian lattices, introduced in (Reading, 2006), generalize the Tamari lattice to any choice of Coxeter element in any finite Coxeter group. They are further generalized to th…
On linear intervals in the alt -Tamari lattices
Cesar Ceballos, Clément Chenevière
Given a lattice path , the -Tamari lattice and the -Dyck lattice are two natural examples of partial order structures on the set of lattice paths that lie weakly above …
Linear Intervals in the Tamari and the Dyck Lattices and in the alt-Tamari Posets
Clément Chenevière
We count the number of linear intervals in the Tamari and the Dyck lattices according to their height, using generating series and Lagrange inversion. Surprisingly, these numbers a…