On Asymptotic Reducibility in SL(3,Z)
  Recently we showed that Hessenberg matrices are proper to represent conjugacy classes in SL(n,Z). In this paper we focus on the reducibility properties in the set of Hessenberg matrices of SL(3,Z). We investigate the first interesting open case here: the case of matrices having one real and two complex conjugate eigenvalues. 
Oleg Karpenkov
math.NT math.RA