On a Compact Generalization of Association Schemes
Combinatorics
2026-03-16 v2
Abstract
We introduce a notion of compact association schemes, which serves as a compact analogue of classical (finite) association schemes. Our definition is formulated in a way that closely parallels the finite case, naturally admits a Bose--Mesner algebra, and includes the compact strong continuous association schemes introduced by Voit [J. Aust. Math. (2019)] within the framework of hypergroups. This approach provides a new perspective that bridges the theory of association schemes with harmonic analysis on compact homogeneous spaces.
Cite
@article{arxiv.2511.02385,
title = {On a Compact Generalization of Association Schemes},
author = {Akifumi Nakada},
journal= {arXiv preprint arXiv:2511.02385},
year = {2026}
}
Comments
9 pages; accepted for Hiroshima Math. J