Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra
| dc.creator | Terwilliger, Paul | |
| dc.creator | Weng, Chih-wen | |
| dc.date | 2003-07-19 | |
| dc.date.accessioned | 2026-07-07T04:59:47Z | |
| dc.date.available | 2026-07-07T04:59:47Z | |
| dc.description | Let $Γ$ denote a distance-regular graph with diameter $D\geq 3$ and Bose-Mesner algebra $M$. For $θ\in C\cup \infty$ we define a 1 dimensional subspace of $M$ which we call $M(θ)$. If $θ\in C$ then $M(θ)$ consists of those $Y$ in $M$ such that $(A-θI)Y\in C A_D$, where $A$ (resp. $A_D$) is the adjacency matrix (resp. $D$th distance matrix) of $Γ.$ If $θ= \infty$ then $M(θ)= C A_D$. By a {\it pseudo primitive idempotent} for $θ$ we mean a nonzero element of $M(θ)$. We use pseudo primitive idempotents to describe the irreducible modules for the Terwilliger algebra, that are thin with endpoint one. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307269 | |
| dc.identifier | http://arxiv.org/abs/math/0307269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68125 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E30 | |
| dc.title | Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra | |
| dc.type | text |