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Fissions of Classical Self-Dual Association Schemes

✍ Scribed by D. de Caen; E.R. van Dam

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 101 KB
Volume: 88
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1999.2970

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✦ Synopsis

We describe fission schemes of most known classical self-dual association schemes, such as the Hamming scheme H(n, q) when q is a prime power. These fission schemes are themselves self-dual, with the exception of certain quadratic forms schemes in even characteristic.

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A result of Strunkov on generalised conjugacy classes of groups is most conveniently expressed in terms of the P-matrix of an association scheme. This result is dual to a result of Blichfeldt on permutation characters, which has been shown by Cameron and Kiyota to hold for arbitrary characters and l