On a Compact Generalization of Association Schemes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912964071653376 |
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| author | Nakada, Akifumi |
| author_facet | Nakada, Akifumi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a Compact Generalization of Association Schemes Nakada, Akifumi Combinatorics 05E30 (Primary), 43A85 (Secondary) 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. |
| title | On a Compact Generalization of Association Schemes |
| topic | Combinatorics 05E30 (Primary), 43A85 (Secondary) |
| url | https://arxiv.org/abs/2511.02385 |