A characterization of the association schemes of Hermitian forms

A. A. Ivanov, S. V. Shpectorov

Research output: Contribution to journalArticlepeer-review

Abstract

Let Y=(X, {Ri}0≦i≦d) be an association scheme whose parameters coincide with those of the association scheme Her (d, q) of Hermitian forms in d-dimen-sional space over the field GF(q2). Suppose that every edge of the distance- regular graph Γ=(X, R1) is contained in a clique of size q. It is shown that if d≧3 then Y is isomorphic to Her (d, q). In the case d=2 a generalized quadrangle with the parameters (q, q2) is reconstructed from Y.

Original languageEnglish
Pages (from-to)25-48
Number of pages24
JournalJournal of the Mathematical Society of Japan
Volume43
Issue number1
DOIs
Publication statusPublished - Jan 1991

ASJC Scopus subject areas

  • General Mathematics

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