The Terwilliger algebra of the halved cube

Chia-Yi Wen, Hau-Wen Huang

Let $D\ge 3$ denote an integer. For any $x\in {\mathbb{F}}_2^D$ let $w(x)$ denote the Hamming weight of $x$. Let $X$ denote the subspace of ${\mathbb{F}}_2^D$ consisting of all $x\in \m…