Lattices of Paths: Representation Theory and Valuations

Details Lattices of Paths: Representation Theory and Valuations Lattices of Paths: Representation Theory and Valuations

2009-05-22

arxiv.org/abs/0905.3764v1

Mathematics

Combinatorics

Scientific paper

We study some distributive lattices arising in the combinatorics of lattice
paths. In particular, for the Dyck, Motzkin and Schroder lattices we describe
the spectrum and we determine explicitly the Euler characteristic in terms of
natural parameters of lattice paths.

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