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arXiv · 2511.01604

Association Scheme on Triples from the Unitary Group

Jose Maria P. Balmaceda·Dom Vito A. Briones·Joris Buloron
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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.

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Jose Maria P. Balmaceda, Dom Vito A. Briones, Joris Buloron. 2025-11-27. Association Scheme on Triples from the Unitary Group. https://arxiv.org/abs/2511.01604

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