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Non-symmetric association schemes of symmetric matrices

โœ Scribed by Yuanji Huo; Zhexian Wan


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1993
Tongue
English
Weight
655 KB
Volume
9
Category
Article
ISSN
0168-9673

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๐Ÿ“œ SIMILAR VOLUMES


Primitive Commutative Association Scheme
โœ Mitsugu Hirasaka ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB

Let (X, [R i ] 0 i d ) be a primitive commutative association scheme. If there is a non-symmetric relation R i with valency 3, then the cardinality of X is equal to either p or p 2 where p is an odd prime. Moreover, if |X | = p then (X, [R i ] 0 i d ) is isomorphic to a cyclotomic scheme.