The displacement and split decompositions for a Q-polynomial distance-regular graph

2003/06/08 by Paul Terwilliger, Terwilliger, Paul · 1 citation
Mathematics · #05E30 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E30

paper · pdf · doi:10.48550/arxiv.math/0306142

14 pages

arxiv created 2003/06/08 · arxiv updated 2009/11/30

Abstract

Let Γ denote a Q-polynomial distance-regular graph with diameter at least three and standard module V. We introduce two direct sum decompositions of V. We call these the displacement decomposition for Γ and the split decomposition for Γ. We describe how these decompositions are related.

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