کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416339 1631129 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modular adjacency algebras of Grassmann graphs
ترجمه فارسی عنوان
جبرهای مجاور مدولار گرافهای گراسمن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

The adjacency algebra of an association scheme is defined over an arbitrary field. In general, it is always semisimple over a field of characteristic zero but not always semisimple over a field of positive characteristic. The structures of adjacency algebras over fields of positive characteristic have not been sufficiently studied.In this paper, we consider the structures of adjacency algebras of some P-polynomial schemes of class d with intersection numbers ci≢0 modulo p for 1≤i≤d over fields of positive characteristic p. The classes of these P-polynomial schemes include association schemes originating from Grassmann graphs, double Grassmann graphs, and all types of dual polar graphs. We discuss the structures of the modular adjacency algebras of Grassmann graphs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 466, 1 February 2015, Pages 208-217
نویسندگان
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