Some reducible Specht modules for Iwahori--Hecke algebras of type $A$   with $q=-1$
  The reducibility of the Specht modules for the Iwahori--Hecke algebras in type $A$ is still open in the case where the defining parameter $q$ equals -1. We prove the reducibility of a large class of Specht modules for these algebras. 
Matthew Fayers, Sinead Lyle