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Modular adjacency algebras of dual polar schemes

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Title: Modular adjacency algebras of dual polar schemes
Authors: Shimabukuro, Osamu
Issue Date: 15-Jan-2016
Publisher: Elsevier Inc.
Citation: Linear Algebra and its Applications, 489, pp.238-252; 2016
Abstract: 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.
Keywords: Association schemes / (P and Q)-polynomial schemes / Modular adjacency algebras / Dual polar schemes
URI: http://hdl.handle.net/10069/36103
ISSN: 00243795
DOI: 10.1016/j.laa.2015.10.012
Rights: © 2015 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Type: Journal Article
Text Version: author
Appears in Collections:Articles in academic journal

Citable URI : http://hdl.handle.net/10069/36103

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