Modular Adjacency Algebras of Hamming Schemes

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Modular Adjacency Algebras of Hamming Schemes

To each association scheme G and to each field R, there is associated naturally an associative algebra, the so-called adjacency algebra RG of G over R. It is well-known that RG is semisimple if R has characteristic 0. However, little is known if R has positive characteristic. In the present paper, we focus on this case. We describe the algebra RG if G is a Hamming scheme (and R a field of posit...

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ژورنال

عنوان ژورنال: Journal of Algebraic Combinatorics

سال: 2004

ISSN: 0925-9899

DOI: 10.1023/b:jaco.0000048521.68503.2b