Complementary pairs of symmetric $2$-designs are equivalent to coherent configurations of type $(2, 2; 2)$. D. G. Higman studied these coherent configurations and adjacency algebras of coherent configurations over a field of characteristic zero. These are always semisimple. We investigate these algebras over fields of any characteristic prime and the structures.
Shimabukuro, O. (2024). Modular representation of symmetric $2$-designs. Journal of Algebra and Related Topics, 12(1), 79-87. doi: 10.22124/jart.2024.22372.1407
MLA
O. Shimabukuro. "Modular representation of symmetric $2$-designs". Journal of Algebra and Related Topics, 12, 1, 2024, 79-87. doi: 10.22124/jart.2024.22372.1407
HARVARD
Shimabukuro, O. (2024). 'Modular representation of symmetric $2$-designs', Journal of Algebra and Related Topics, 12(1), pp. 79-87. doi: 10.22124/jart.2024.22372.1407
VANCOUVER
Shimabukuro, O. Modular representation of symmetric $2$-designs. Journal of Algebra and Related Topics, 2024; 12(1): 79-87. doi: 10.22124/jart.2024.22372.1407
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