Hopf algebras on decorated noncrossing arc diagrams
Combinatorics
2023-11-14 v2
Abstract
Noncrossing arc diagrams are combinatorial models for the equivalence classes of the lattice congruences of the weak order on permutations. In this paper, we provide a general method to endow these objects with Hopf algebra structures. Specific instances of this method produce relevant Hopf algebras that appeared earlier in the literature.
Keywords
Cite
@article{arxiv.1801.03867,
title = {Hopf algebras on decorated noncrossing arc diagrams},
author = {Vincent Pilaud},
journal= {arXiv preprint arXiv:1801.03867},
year = {2023}
}
Comments
15 pages, 6 figures; Version 2: exposition improvements