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The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two

Mark MacLean, Paul Terwilliger

math.COarXiv:math/0604351

Abstract

We consider a bipartite distance-regular graph G with diameter at least 4 and valency at least 3. Fix a vertex of G and let T denote the corresponding subconstituent algebra. We give a detailed description of a certain type of irreducible T-module, said to be thin with endpoint 2.

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