Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces
Combinatorics
2019-02-05 v1
Abstract
In this article, we study degree one Cameron-Liebler sets of generators in all finite classical polar spaces, which is a particular type of a Cameron-Liebler set of generators in this polar space, [9]. These degree one Cameron-Liebler sets are defined similar to the Boolean degree one functions, [15]. We summarize the equivalent definitions for these sets and give a classification result for the degree one Cameron-Liebler sets in the polar spaces W(5,q) and Q(6,q).
Keywords
Cite
@article{arxiv.1902.01252,
title = {Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces},
author = {Jozefien D'haeseleer and Maarten De Boeck},
journal= {arXiv preprint arXiv:1902.01252},
year = {2019}
}