Journal of Combinatorics
Volume 2 (2011)
Lattices of paths: Representation theory and valuations
Pages: 265 – 291
We study some distributive lattices arising in the combinatorics of lattice paths. In particular, for the Dyck, Motzkin and Schröder lattices we describe the spectrum and we determine explicitly the Euler characteristic in terms of natural parameters of lattice paths.
Dyck paths, Dyck lattices, Motzkin paths, Motzkin lattices, Schröder paths, Schröder lattices, Dyck-like lattices, Young lattices, Euler characteristic, finite distributive lattices
2010 Mathematics Subject Classification
Primary 06D05. Secondary 06A07.