zbMATH — the first resource for mathematics

The subconstituent algebra of an association scheme. II. (English) Zbl 0785.05090
From the author’s abstract: This is a continuation of an article from the previous issue (see the preceding review). In this section, we determine the structure of a thin, irreducible module for the subconstituent algebra of a \(P\)- and \(Q\)-polynomial association scheme. Such a module is naturally associated with a Leonard system. The isomorphism class of the module is determined by this Leonard system, which in turn is determined by four parameters: the endpoint, the dual endpoint, the diameter, and an additional parameter \(f\). If the module has sufficiently large dimension, the parameter \(f\) takes one of a certain set of values indexed by a bounded integer parameter \(e\).

05E30 Association schemes, strongly regular graphs
Full Text: DOI