Modular representation of symmetric ۲-designs

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JART-12-1_007

تاریخ نمایه سازی: 31 تیر 1403

Abstract:

Complementary pairs of symmetric ۲-designs are equivalent to coherent configurations of type (۲, ۲; ۲).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.

Authors

O. Shimabukuro

Department of Mathematics, Faculty of Education, Nagasaki University, Nagasaki, Japan