We study homogeneous Lorentzian manifolds M=G/L of a connected reductive Lie group G modulo subgroup L, under the assumption that M is (almost) G-effective and isotropy representation totally reducible. show description such reduces to case semisimple groups G. Moreover, we prove space reductive. describe all reducible subgroups Lorentz divide them into three types. The Type I are compact, whil...

We propose several different types of construction principles for new classes Toda field theories based on root systems defined Lorentzian lattices. In analogy to conformal and affine semi-simple Lie algebras, also their extensions come about in massive variants. carry out the Painlevé integrability test proposed theories, finding general only one integer valued resonance corresponding energy-m...