A simplicial groupoid for plethysm
Combinatorics
2021-03-10 v3 Algebraic Topology
Category Theory
Abstract
We give a simple combinatorial model for plethysm. Precisely, the bialgebra dual to plethystic substitution is realised as the homotopy cardinality of the incidence bialgebra of an explicit simplicial groupoid, obtained from surjections by a construction reminiscent of the Waldhausen S and the Quillen Q-construction.
Keywords
Cite
@article{arxiv.1804.09462,
title = {A simplicial groupoid for plethysm},
author = {Alex Cebrian},
journal= {arXiv preprint arXiv:1804.09462},
year = {2021}
}
Comments
23 pages, expository improvements