Classification of thin Jordan schemes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912850853756928 |
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| author | Muzychuk, Mikhail Pech, Christian Woldar, Andrew |
| author_facet | Muzychuk, Mikhail Pech, Christian Woldar, Andrew |
| contents | Jordan schemes generalize association schemes in a similar way as Jordan algebras generalize the associative ones. It is well-known that association schemes of maximal rank are in one-to-one correspondence with groups (so-called thin schemes). In this paper, we classify Jordan schemes of maximal rank-to-order ratio and show that regular Jordan schemes correspond to a special class of Moufang loops, known as Ring Alternative loops. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04068 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of thin Jordan schemes Muzychuk, Mikhail Pech, Christian Woldar, Andrew Combinatorics Group Theory Rings and Algebras 17C50, 20N05, 05E30, 05E16, 16W10 Jordan schemes generalize association schemes in a similar way as Jordan algebras generalize the associative ones. It is well-known that association schemes of maximal rank are in one-to-one correspondence with groups (so-called thin schemes). In this paper, we classify Jordan schemes of maximal rank-to-order ratio and show that regular Jordan schemes correspond to a special class of Moufang loops, known as Ring Alternative loops. |
| title | Classification of thin Jordan schemes |
| topic | Combinatorics Group Theory Rings and Algebras 17C50, 20N05, 05E30, 05E16, 16W10 |
| url | https://arxiv.org/abs/2509.04068 |