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arXiv · 2406.06093

Weights on homogeneous coherent configurations

Akihide Hanaki
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Abstract

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.

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Akihide Hanaki. 2024-06-10. Weights on homogeneous coherent configurations. https://doi.org/10.5802/alco.420

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