  In this paper we classify algebraic Anosov actions of nilpotent Lie groups on
closed manifolds, extending the previous results by P. Tomter. We show that
they are all nil-suspensions over either suspensions of Anosov actions of Z^k
on nilmanifolds, or (modified) Weyl chamber actions. We check the validity of
the generalized Verjovsky conjecture in this algebraic context. We also point
out an intimate relation between algebraic Anosov actions and Cartan
subalgebras in general real Lie groups.
