Regular ovoids and Cameron-Liebler sets of generators in polar spaces
Abstract
Cameron-Liebler sets of generators in polar spaces were introduced a few years ago as natural generalisations of the Cameron-Liebler sets of subspaces in projective spaces. In this article we present the first two constructions of non-trivial Cameron-Liebler sets of generators in polar spaces. Also regular m-ovoids of k-spaces are introduced as a generalization of m-ovoids of polar spaces. They are used in one of the aforementioned constructions of Cameron-Liebler sets.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2023
- DOI:
- 10.48550/arXiv.2310.14739
- arXiv:
- arXiv:2310.14739
- Bibcode:
- 2023arXiv231014739D
- Keywords:
-
- Mathematics - Combinatorics;
- 05B25;
- 05E30;
- 51A50;
- 51E20