Weights on homogeneous coherent configurations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912760444485632 |
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| author | Hanaki, Akihide |
| author_facet | Hanaki, Akihide |
| contents | D. G. Higman generalized a coherent configuration and defined a weight. In this article, we will modify the definition and investigate weights on coherent configurations. If our weights are on a thin homogeneous coherent configuration, that is essentially a finite group, then there is a natural correspondence between the set of equivalence classes of weights and $2$-cohomology group of the group. We also give a construction of weights as a generalization of Higman's method using monomial representations of finite groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weights on homogeneous coherent configurations Hanaki, Akihide Combinatorics 05E30 D. G. Higman generalized a coherent configuration and defined a weight. In this article, we will modify the definition and investigate weights on coherent configurations. If our weights are on a thin homogeneous coherent configuration, that is essentially a finite group, then there is a natural correspondence between the set of equivalence classes of weights and $2$-cohomology group of the group. We also give a construction of weights as a generalization of Higman's method using monomial representations of finite groups. |
| title | Weights on homogeneous coherent configurations |
| topic | Combinatorics 05E30 |
| url | https://arxiv.org/abs/2406.06093 |