Modular representation theory of BIB designs

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• 作者：Akihide Hanaki^a ; ^{hanaki@shinshu-u.ac.jp} ; Yasuaki Miyazaki^a ; ^{y.miyazaki.math@gmail.com} ; Osamu Shimabukuro^b ; ^{shimabukuro@nagasaki-u.ac.jp}
• 关键词：primary ; 05E30 ; secondary ; 05B05
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：514
• 期：Complete
• 页码：174-197
• 全文大小：424 K
• 卷排序：514

文摘

Our aim is to study the modular representation theory of coherent configurations. Let p be a prime. We consider structures of modular adjacency algebras of coherent configurations obtained from combinatorial designs. The structures of standard modules of modular adjacency algebras provide more information than p-ranks of incidence matrices of combinatorial designs.