✦ LIBER ✦

Semisimplicity of adjacency algebras of association schemes

✍ Scribed by Akihide Hanaki

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 69 KB
Volume: 225
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8125

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✦ Synopsis

In this paper, we investigate the semisimplicity of adjacency algebras of association schemes over positive characteristic fields. Our main result is that the Frame number characterizes semisimplicity of an adjacency algebra. In a sense, this is a generalization of Maschke's theorem.

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