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- W2951815089 abstract "Let $Gamma$ denote a distance-regular graph with diameter $Dgeq 3$ and Bose-Mesner algebra $M$. For $thetain Ccup infty$ we define a 1 dimensional subspace of $M$ which we call $M(theta)$. If $thetain C$ then $M(theta)$ consists of those $Y$ in $M$ such that $(A-theta I)Yin C A_D$, where $A$ (resp. $A_D$) is the adjacency matrix (resp. $D$th distance matrix) of $Gamma.$ If $theta = infty$ then $M(theta)= C A_D$. By a {it pseudo primitive idempotent} for $theta$ we mean a nonzero element of $M(theta)$. We use pseudo primitive idempotents to describe the irreducible modules for the Terwilliger algebra, that are thin with endpoint one." @default.
- W2951815089 created "2019-06-27" @default.
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- W2951815089 date "2003-07-19" @default.
- W2951815089 modified "2023-09-27" @default.
- W2951815089 title "Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra" @default.
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