Association Scheme on Triples from the Unitary Group

Fuente: arXiv
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Auteurs principaux: Balmaceda, Jose Maria P., Briones, Dom Vito A., Buloron, Joris
Format: Preprint
Publié: 2025
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author Balmaceda, Jose Maria P.
Briones, Dom Vito A.
Buloron, Joris
author_facet Balmaceda, Jose Maria P.
Briones, Dom Vito A.
Buloron, Joris
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01604
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Association Scheme on Triples from the Unitary Group
Balmaceda, Jose Maria P.
Briones, Dom Vito A.
Buloron, Joris
Combinatorics
05E30 (Primary) 51F25 (Secondary)
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.
title Association Scheme on Triples from the Unitary Group
topic Combinatorics
05E30 (Primary) 51F25 (Secondary)
url https://arxiv.org/abs/2511.01604