Regular ovoids and Cameron-Liebler sets of generators in polar spaces

2023/10/23 by De Boeck, Maarten, D'haeseleer, Jozefien, Rodgers, Morgan
#05B25 #05E30 #51A50 #51E20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.14739

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.

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