Journal Article Modular adjacency algebras of dual polar schemes

Shimabukuro, Osamu

489pp.238 - 252 , 2016-01-15 , Elsevier Inc.
ISSN:00243795
Description
We can define the adjacency algebra of an association scheme over an arbitrary field. It is not always semisimple over a field of positive characteristic. The structures of adjacency algebras over a field of positive characteristic have not been sufficiently studied. In this paper, we consider the structures of adjacency algebras of dual polar schemes over a field of positive characteristic and determine them when their algebras are local algebras.
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