An algebraic groups perspective on Erd\H{o}s-Ko-Rado
Combinatorics
2024-11-06 v2 Group Theory
Abstract
We give a proof of the Erd\H{o}s-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erd\H{o}s-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices.
Cite
@article{arxiv.2007.03707,
title = {An algebraic groups perspective on Erd\H{o}s-Ko-Rado},
author = {Russ Woodroofe},
journal= {arXiv preprint arXiv:2007.03707},
year = {2024}
}
Comments
10 pages; v2 has minor corrections for publication