Counting generating spaces of matrices
Representation Theory
2025-10-09 v1 Rings and Algebras
Abstract
We prove that generating subspaces of matrix rings over finite fields are counted by polynomials. We use this result to define and study two-variable versions of polynomials counting isomorphism classes of absolutely irreducible representations of free algebras.
Cite
@article{arxiv.2510.06959,
title = {Counting generating spaces of matrices},
author = {Markus Reineke},
journal= {arXiv preprint arXiv:2510.06959},
year = {2025}
}
Comments
11 pages