Cohen Lenstra Partitions and Mutually Annihilating Matrices over a Finite Field
Combinatorics
2021-11-19 v1 Algebraic Geometry
Number Theory
Abstract
Motivated by questions in algebraic geometry, Yifeng Huang recently derived generating functions for counting mutually annihilating matrices and mutually annihilating nilpotent matrices over a finite field. We give a different derivation of his results using statistical properties of random partitions chosen from the Cohen-Lenstra measure.
Cite
@article{arxiv.2111.09433,
title = {Cohen Lenstra Partitions and Mutually Annihilating Matrices over a Finite Field},
author = {Jason Fulman and Robert Guralnick},
journal= {arXiv preprint arXiv:2111.09433},
year = {2021}
}
Comments
6 pages