A note on applications of the ‘Vector Enumerator’ algorithm

AbstractThe VectorEnumerator algorithm is a tool to construct explicit matrices for the action of a finitely presented algebra on a finitely presented module. In this note we are going to present techniques to obtain algebra or module presentations from certain abstract situations, to facilitate analysis using the VectorEnumerator algorithm. Finally, we apply these techniques to modules for a certain Iwahori–Hecke algebra