We give a framework for growth models on posets which simultaneously generalizes the Classical Sequential Growth models for posets from causal set theory and the tree growth models of natural growth and simple tree classes, the latter of which also appear as solutions of combinatorial Dyson-Schwinger equations in quantum field theory. We prove which cases of the Classical Sequential Growth models give subHopf algebras of the Hopf algebra of posets, in analogy to a characterization due to Foissy in the Dyson-Schwinger case. We find a family of generating sets for the Connes-Moscovici Hopf algebra.
@article{10_37236_12715,
author = {Karen Yeats and Stav Zalel},
title = {Hopf algebras from poset growth models},
journal = {The electronic journal of combinatorics},
year = {2024},
volume = {31},
number = {3},
doi = {10.37236/12715},
zbl = {7921983},
url = {http://geodesic.mathdoc.fr/articles/10.37236/12715/}
}
TY - JOUR
AU - Karen Yeats
AU - Stav Zalel
TI - Hopf algebras from poset growth models
JO - The electronic journal of combinatorics
PY - 2024
VL - 31
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/12715/
DO - 10.37236/12715
ID - 10_37236_12715
ER -
%0 Journal Article
%A Karen Yeats
%A Stav Zalel
%T Hopf algebras from poset growth models
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/12715/
%R 10.37236/12715
%F 10_37236_12715
Karen Yeats; Stav Zalel. Hopf algebras from poset growth models. The electronic journal of combinatorics, Tome 31 (2024) no. 3. doi: 10.37236/12715
