Association Scheme on Triples from the Unitary Group
Combinatorics
2025-12-01 v2
Abstract
An association scheme on triples (AST) is a three-dimensional analogue of a classical association scheme. Similar to how a transitive group action produces a Schurian classical association scheme, a two-transitive group action produces an AST. This paper describes the relations and intersection numbers of ASTs from the finite unitary groups acting on the respective isotropic lines.
Cite
@article{arxiv.2511.01604,
title = {Association Scheme on Triples from the Unitary Group},
author = {Jose Maria P. Balmaceda and Dom Vito A. Briones and Joris Buloron},
journal= {arXiv preprint arXiv:2511.01604},
year = {2025}
}
Comments
10 pages