The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme
| dc.creator | Caughman, John S. | |
| dc.creator | MacLean, Mark S. | |
| dc.creator | Terwilliger, Paul M. | |
| dc.date | 2005-08-22 | |
| dc.date.accessioned | 2026-07-07T05:22:33Z | |
| dc.date.available | 2026-07-07T05:22:33Z | |
| dc.description | Let $Y$ denote a $D$-class symmetric association scheme with $D \geq 3$, and suppose $Y$ is almost-bipartite P- and 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 $W$. We find a recurrence which gives the multiplicities with which the irreducible $T$-modules occur in the standard module. We compute this multiplicity for those irreducible $T$-modules which have diameter at least $D-3$. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508401 | |
| dc.identifier | http://arxiv.org/abs/math/0508401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76106 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E30 | |
| dc.title | The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme | |
| dc.type | text |