This paper investigates the Terwilliger algebras of some group association schemes related to matrix groups. We obtain the structure of the Terwilliger algebras for the general and the special linear group of 2 × 2 matrices over the field of order 5. In particular, we determine the Wedderburn decomposition of these algebras.
(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...