English

Pascal arrays: counting Catalan sets

Combinatorics 2020-12-21 v1 Representation Theory

Abstract

Motivated by representation theory we exhibit an interior structure to Catalan sequences and many generalisations thereof. Certain of these coincide with well known (but heretofore isolated) structures. The remainder are new.

Keywords

Cite

@article{arxiv.math/0612572,
  title  = {Pascal arrays: counting Catalan sets},
  author = {Bethany Marsh and Paul Martin},
  journal= {arXiv preprint arXiv:math/0612572},
  year   = {2020}
}

Comments

55 pages, 28 figures, the source file is catalan4.tex