Corpus ID: 211253149

The Terwilliger Algebra of an Almost-Bipartite P- and Q-Polynomial Association Scheme

@inproceedings{Maseeh2020TheTA,
  title={The Terwilliger Algebra of an Almost-Bipartite P- and Q-Polynomial Association Scheme},
  author={F. Maseeh and J. Caughman},
  year={2020}
}
Let Y denote a D-class symmetric association scheme with D ≥ 3, and suppose Y is almostbipartite Pand Q-polynomial. Let x denote a vertex of Y and let T = T (x) denote the corresponding Terwilliger algebra. We prove that any irreducible T -module W is both thin and dual thin in the sense of Terwilliger. We produce two bases for W and describe the action of T on these bases. We prove that the isomorphism class of W as a T -module is determined by two parameters, the dual endpoint and diameter of… Expand

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