In this note we determine all irreducible Brauer characters of , its cover , its automorphism group and the bicyclic extension in characteristic 2 and 3.

We derive a new expression for the q-analogue of the Young symmetrizer which generate irreducible representations of the Hecke algebra. We obtain this new expression using Cherednikʹs fusion procedure. However, instead of splitting Young diagrams into their rows or columns, we consider their principal hooks. This minimizes the number of auxiliary parameters needed in the fusion procedure.