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The Structure of Imprimitive Non-symmetric 3-Class Association Schemes

✍ Scribed by R.W. Goldbach; H.L. Claasen

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
383 KB
Volume
17
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES

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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.

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In this paper we determine all symmetric and non-symmetric 3-class association schemes such that for their adjacency matrices D i we have Hadamard matrix of order 16 (i.e. an Hadamard matrix consisting of 16 square blocks H i j of order 4 such that H ii = J 4 and H i j J 4 = J 4 H i j = 0). It appe

A class of non-graded left-symmetric alg
A class of non-graded left-symmetric algebraic structures on the Witt algebra
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## Abstract We classify the compatible left‐symmetric algebraic structures on the Witt algebra satisfying certain non‐graded conditions. It is unexpected that they are Novikov algebras. Furthermore, as applications, we study the induced non‐graded modules of the Witt algebra and the induced Lie alg