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

Mark MacLean·Paul Terwilliger
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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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Mark MacLean, Paul Terwilliger. 2006-04-15. The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two. https://arxiv.org/abs/math/0604351

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