Equivalent definitions for (degree one) Cameron-Liebler classes of\n generators in finite classical polar spaces

2019/02/04 by Jozefien D’haeseleer, D'haeseleer, Jozefien, Maarten De Boeck +1
Computer Science · Mathematics · Biochemistry, Genetics and Molecular Biology · #Coding theory and cryptography #Finite Group Theory Research #Protein Tyrosine Phosphatases

paper · pdf · doi:10.48550/arxiv.1902.01252

Abstract

In this article, we study degree one Cameron-Liebler sets of generators in\nall finite classical polar spaces, which is a particular type of a\nCameron-Liebler set of generators in this polar space, [9]. These degree one\nCameron-Liebler sets are defined similar to the Boolean degree one functions,\n[15]. We summarize the equivalent definitions for these sets and give a\nclassification result for the degree one Cameron-Liebler sets in the polar\nspaces W(5,q) and Q(6,q).\n

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