The Terwilliger algebra of digraphs I -- Hamming digraph $H^{\ast }(d,3)$

Tsuyoshi Miezaki, Hiroshi Suzuki, Keisuke Uchida

In the present paper, we define the Terwilliger algebra of digraphs. Then, we determine the irreducible modules of the Terwilliger algebra of a Hamming digraph $H^{\ast }(d,3)$. As is we…