We find a condition on the intersection numbers of any \(P\) - and \(Q\)-polynomial association scheme \(Y\) with diameter at least 3, that holds if \(Y\) has an antipodal \(P\)-polynomial cover with diameter at least 7. If \(Y\) is a known example of a \(P\) - and \(Q\)-polynomial association schem
Character Products and Q-Polynomial Group Association Schemes
โ Scribed by Masao Kiyota; Hiroshi Suzuki
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 114 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We characterize that the image of the embedding of the Q-polynomial association scheme into the first eigenspace by primitive idempotent E 1 is a spherical t-design in terms of the Krein numbers. Furthermore, we show that the strengths of Pand Q-polynomial schemes as spherical designs are bounded by
We consider \(P\) - and \(Q\)-polynomial association schemes and introduce definitions of Delsarte codes and decomposable schemes. Many known combinatorial notions can be defined as Delsarte codes in suitable association schemes, and almost all classical association schemes turn out to be decomposab
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