The thirty-seven measures on permutations
Combinatorics
2024-04-16 v1 Representation Theory
Abstract
In recent work with Harman, we introduced a notion of measure on a class of finite relational structures. In this note, we consider measures on the class of permutations, i.e., finite sets with two total orders. Using a method of Nekrasov, we show that there are exactly 37 measures. Two of these measures lead to a new pre-Tannakian tensor category.
Keywords
Cite
@article{arxiv.2404.08775,
title = {The thirty-seven measures on permutations},
author = {Andrew Snowden},
journal= {arXiv preprint arXiv:2404.08775},
year = {2024}
}
Comments
15 pages