Special modules over positively based algebras
  We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group algebras of finite Weyl groups with respect to the Kazhdan-Lusztig basis, this agrees with Lusztig's notion of a special module introduced in [Lu1]. 
Tobias Kildetoft and Volodymyr Mazorchuk
math.RT math.GR math.RA