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

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

2006-04-15

arxiv.org/abs/math/0604351v1

Mathematics

Combinatorics

31 pages

Scientific paper

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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