Symmetric groups and checker triangulated surfaces
Representation Theory
2022-12-20 v1 Category Theory
Group Theory
Geometric Topology
Abstract
We consider triangulations of surfaces with edges painted three colors so that edges of each triangle have different colors. Such structures arise as Belyi data (or Grothendieck dessins d'enfant), on the other hand they enumerate pairs of permutations determined up to a common conjugation. The topic of these notes is links of such combinatorial structures with infinite symmetric groups and their representations.
Cite
@article{arxiv.1710.11565,
title = {Symmetric groups and checker triangulated surfaces},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:1710.11565},
year = {2022}
}
Comments
20p., 5 fig